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Finding the Fourth Proportional to 4,329.24, 5,978.28 and 3,734.16

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Solution

The fourth proportional to 4,329.24, 5,978.28 and 3,734.16 is: 5,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.24 : 5,978.28 = 3,734.16 : x
  2. Step 2: Convert to fraction form
    4,329.24/5,978.28 = 3,734.16/x
  3. Step 3: Cross multiply
    4,329.24x = 5,978.28 × 3,734.16
  4. Step 4: Simplify right side
    4,329.24x = 22,323,854.04
  5. Step 5: Solve for x
    x = 22,323,854.04/4,329.24
  6. Step 6: Final answer
    x = 5,156.53

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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.