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Finding the Fourth Proportional to 3,188.52, 4,775.28 and 2,452.20

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Solution

The fourth proportional to 3,188.52, 4,775.28 and 2,452.20 is: 3,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.52 : 4,775.28 = 2,452.20 : x
  2. Step 2: Convert to fraction form
    3,188.52/4,775.28 = 2,452.20/x
  3. Step 3: Cross multiply
    3,188.52x = 4,775.28 × 2,452.20
  4. Step 4: Simplify right side
    3,188.52x = 11,709,941.62
  5. Step 5: Solve for x
    x = 11,709,941.62/3,188.52
  6. Step 6: Final answer
    x = 3,672.53

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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.