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Finding the Fourth Proportional to 3,637.60, 5,442.90 and 2,665.60

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Solution

The fourth proportional to 3,637.60, 5,442.90 and 2,665.60 is: 3,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.60 : 5,442.90 = 2,665.60 : x
  2. Step 2: Convert to fraction form
    3,637.60/5,442.90 = 2,665.60/x
  3. Step 3: Cross multiply
    3,637.60x = 5,442.90 × 2,665.60
  4. Step 4: Simplify right side
    3,637.60x = 14,508,594.24
  5. Step 5: Solve for x
    x = 14,508,594.24/3,637.60
  6. Step 6: Final answer
    x = 3,988.51

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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.