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Finding the Fourth Proportional to 5,303.81, 7,319.49 and 2,946.17

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Solution

The fourth proportional to 5,303.81, 7,319.49 and 2,946.17 is: 4,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.81 : 7,319.49 = 2,946.17 : x
  2. Step 2: Convert to fraction form
    5,303.81/7,319.49 = 2,946.17/x
  3. Step 3: Cross multiply
    5,303.81x = 7,319.49 × 2,946.17
  4. Step 4: Simplify right side
    5,303.81x = 21,564,461.85
  5. Step 5: Solve for x
    x = 21,564,461.85/5,303.81
  6. Step 6: Final answer
    x = 4,065.84

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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.