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Finding the Fourth Proportional to 3,932.22, 5,432.01 and 3,577.53

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Solution

The fourth proportional to 3,932.22, 5,432.01 and 3,577.53 is: 4,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.22 : 5,432.01 = 3,577.53 : x
  2. Step 2: Convert to fraction form
    3,932.22/5,432.01 = 3,577.53/x
  3. Step 3: Cross multiply
    3,932.22x = 5,432.01 × 3,577.53
  4. Step 4: Simplify right side
    3,932.22x = 19,433,178.74
  5. Step 5: Solve for x
    x = 19,433,178.74/3,932.22
  6. Step 6: Final answer
    x = 4,942.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.