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Finding the Fourth Proportional to 3,627.78, 5,442 and 1,287.55

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Solution

The fourth proportional to 3,627.78, 5,442 and 1,287.55 is: 1,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.78 : 5,442 = 1,287.55 : x
  2. Step 2: Convert to fraction form
    3,627.78/5,442 = 1,287.55/x
  3. Step 3: Cross multiply
    3,627.78x = 5,442 × 1,287.55
  4. Step 4: Simplify right side
    3,627.78x = 7,006,847.10
  5. Step 5: Solve for x
    x = 7,006,847.10/3,627.78
  6. Step 6: Final answer
    x = 1,931.44

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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.