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Finding the Fourth Proportional to 3,637.68, 5,024.64 and 2,695.20

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Solution

The fourth proportional to 3,637.68, 5,024.64 and 2,695.20 is: 3,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.68 : 5,024.64 = 2,695.20 : x
  2. Step 2: Convert to fraction form
    3,637.68/5,024.64 = 2,695.20/x
  3. Step 3: Cross multiply
    3,637.68x = 5,024.64 × 2,695.20
  4. Step 4: Simplify right side
    3,637.68x = 13,542,409.73
  5. Step 5: Solve for x
    x = 13,542,409.73/3,637.68
  6. Step 6: Final answer
    x = 3,722.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.