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Finding the Fourth Proportional to 3,637.62, 5,454.42 and 1,688.10

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Solution

The fourth proportional to 3,637.62, 5,454.42 and 1,688.10 is: 2,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.62 : 5,454.42 = 1,688.10 : x
  2. Step 2: Convert to fraction form
    3,637.62/5,454.42 = 1,688.10/x
  3. Step 3: Cross multiply
    3,637.62x = 5,454.42 × 1,688.10
  4. Step 4: Simplify right side
    3,637.62x = 9,207,606.40
  5. Step 5: Solve for x
    x = 9,207,606.40/3,637.62
  6. Step 6: Final answer
    x = 2,531.22

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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.