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Finding the Fourth Proportional to 3,957.89, 5,464.38 and 2,542.15

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Solution

The fourth proportional to 3,957.89, 5,464.38 and 2,542.15 is: 3,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.89 : 5,464.38 = 2,542.15 : x
  2. Step 2: Convert to fraction form
    3,957.89/5,464.38 = 2,542.15/x
  3. Step 3: Cross multiply
    3,957.89x = 5,464.38 × 2,542.15
  4. Step 4: Simplify right side
    3,957.89x = 13,891,260.91
  5. Step 5: Solve for x
    x = 13,891,260.91/3,957.89
  6. Step 6: Final answer
    x = 3,509.76

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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.