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Finding the Fourth Proportional to 5,303.84, 7,319.46 and 3,206.76

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Solution

The fourth proportional to 5,303.84, 7,319.46 and 3,206.76 is: 4,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.84 : 7,319.46 = 3,206.76 : x
  2. Step 2: Convert to fraction form
    5,303.84/7,319.46 = 3,206.76/x
  3. Step 3: Cross multiply
    5,303.84x = 7,319.46 × 3,206.76
  4. Step 4: Simplify right side
    5,303.84x = 23,471,751.55
  5. Step 5: Solve for x
    x = 23,471,751.55/5,303.84
  6. Step 6: Final answer
    x = 4,425.43

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Half scale
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Double scale
Find fourth proportional to 5,304.84, 7,320.84 and 3,207.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.