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Finding the Fourth Proportional to 5,303.84, 7,319.52 and 2,946

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Solution

The fourth proportional to 5,303.84, 7,319.52 and 2,946 is: 4,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.84 : 7,319.52 = 2,946 : x
  2. Step 2: Convert to fraction form
    5,303.84/7,319.52 = 2,946/x
  3. Step 3: Cross multiply
    5,303.84x = 7,319.52 × 2,946
  4. Step 4: Simplify right side
    5,303.84x = 21,563,305.92
  5. Step 5: Solve for x
    x = 21,563,305.92/5,303.84
  6. Step 6: Final answer
    x = 4,065.60

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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.