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Finding the Fourth Proportional to 4,637.92, 6,400.38 and 2,542

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Solution

The fourth proportional to 4,637.92, 6,400.38 and 2,542 is: 3,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.92 : 6,400.38 = 2,542 : x
  2. Step 2: Convert to fraction form
    4,637.92/6,400.38 = 2,542/x
  3. Step 3: Cross multiply
    4,637.92x = 6,400.38 × 2,542
  4. Step 4: Simplify right side
    4,637.92x = 16,269,765.96
  5. Step 5: Solve for x
    x = 16,269,765.96/4,637.92
  6. Step 6: Final answer
    x = 3,507.99

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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.