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Finding the Fourth Proportional to 3,646.71, 5,471.28 and 1,454.85

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Solution

The fourth proportional to 3,646.71, 5,471.28 and 1,454.85 is: 2,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.71 : 5,471.28 = 1,454.85 : x
  2. Step 2: Convert to fraction form
    3,646.71/5,471.28 = 1,454.85/x
  3. Step 3: Cross multiply
    3,646.71x = 5,471.28 × 1,454.85
  4. Step 4: Simplify right side
    3,646.71x = 7,959,891.71
  5. Step 5: Solve for x
    x = 7,959,891.71/3,646.71
  6. Step 6: Final answer
    x = 2,182.76

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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.