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Finding the Fourth Proportional to 4,155.38, 5,734.95 and 2,387.32

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Solution

The fourth proportional to 4,155.38, 5,734.95 and 2,387.32 is: 3,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.38 : 5,734.95 = 2,387.32 : x
  2. Step 2: Convert to fraction form
    4,155.38/5,734.95 = 2,387.32/x
  3. Step 3: Cross multiply
    4,155.38x = 5,734.95 × 2,387.32
  4. Step 4: Simplify right side
    4,155.38x = 13,691,183.23
  5. Step 5: Solve for x
    x = 13,691,183.23/4,155.38
  6. Step 6: Final answer
    x = 3,294.81

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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.