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Finding the Fourth Proportional to 3,637.28, 5,448.36 and 2,702

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Solution

The fourth proportional to 3,637.28, 5,448.36 and 2,702 is: 4,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.28 : 5,448.36 = 2,702 : x
  2. Step 2: Convert to fraction form
    3,637.28/5,448.36 = 2,702/x
  3. Step 3: Cross multiply
    3,637.28x = 5,448.36 × 2,702
  4. Step 4: Simplify right side
    3,637.28x = 14,721,468.72
  5. Step 5: Solve for x
    x = 14,721,468.72/3,637.28
  6. Step 6: Final answer
    x = 4,047.38

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