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Finding the Fourth Proportional to 3,932.03, 5,921.46 and 3,546.47

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Solution

The fourth proportional to 3,932.03, 5,921.46 and 3,546.47 is: 5,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.03 : 5,921.46 = 3,546.47 : x
  2. Step 2: Convert to fraction form
    3,932.03/5,921.46 = 3,546.47/x
  3. Step 3: Cross multiply
    3,932.03x = 5,921.46 × 3,546.47
  4. Step 4: Simplify right side
    3,932.03x = 21,000,280.25
  5. Step 5: Solve for x
    x = 21,000,280.25/3,932.03
  6. Step 6: Final answer
    x = 5,340.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.