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Finding the Fourth Proportional to 3,757.92, 5,637.12 and 1,449.36

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Solution

The fourth proportional to 3,757.92, 5,637.12 and 1,449.36 is: 2,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.92 : 5,637.12 = 1,449.36 : x
  2. Step 2: Convert to fraction form
    3,757.92/5,637.12 = 1,449.36/x
  3. Step 3: Cross multiply
    3,757.92x = 5,637.12 × 1,449.36
  4. Step 4: Simplify right side
    3,757.92x = 8,170,216.24
  5. Step 5: Solve for x
    x = 8,170,216.24/3,757.92
  6. Step 6: Final answer
    x = 2,174.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.