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Finding the Fourth Proportional to 3,627.70, 5,437.75 and 1,520.53

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Solution

The fourth proportional to 3,627.70, 5,437.75 and 1,520.53 is: 2,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.70 : 5,437.75 = 1,520.53 : x
  2. Step 2: Convert to fraction form
    3,627.70/5,437.75 = 1,520.53/x
  3. Step 3: Cross multiply
    3,627.70x = 5,437.75 × 1,520.53
  4. Step 4: Simplify right side
    3,627.70x = 8,268,244.61
  5. Step 5: Solve for x
    x = 8,268,244.61/3,627.70
  6. Step 6: Final answer
    x = 2,279.20

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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.