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Finding the Fourth Proportional to 5,329.92, 7,354.98 and 2,972.04

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Solution

The fourth proportional to 5,329.92, 7,354.98 and 2,972.04 is: 4,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.92 : 7,354.98 = 2,972.04 : x
  2. Step 2: Convert to fraction form
    5,329.92/7,354.98 = 2,972.04/x
  3. Step 3: Cross multiply
    5,329.92x = 7,354.98 × 2,972.04
  4. Step 4: Simplify right side
    5,329.92x = 21,859,294.76
  5. Step 5: Solve for x
    x = 21,859,294.76/5,329.92
  6. Step 6: Final answer
    x = 4,101.24

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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.