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Finding the Fourth Proportional to 3,471.57, 4,799.52 and 2,634.30

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Solution

The fourth proportional to 3,471.57, 4,799.52 and 2,634.30 is: 3,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.57 : 4,799.52 = 2,634.30 : x
  2. Step 2: Convert to fraction form
    3,471.57/4,799.52 = 2,634.30/x
  3. Step 3: Cross multiply
    3,471.57x = 4,799.52 × 2,634.30
  4. Step 4: Simplify right side
    3,471.57x = 12,643,375.54
  5. Step 5: Solve for x
    x = 12,643,375.54/3,471.57
  6. Step 6: Final answer
    x = 3,641.98

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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.