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Finding the Fourth Proportional to 4,471.68, 6,171.56 and 2,582.88

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Solution

The fourth proportional to 4,471.68, 6,171.56 and 2,582.88 is: 3,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.68 : 6,171.56 = 2,582.88 : x
  2. Step 2: Convert to fraction form
    4,471.68/6,171.56 = 2,582.88/x
  3. Step 3: Cross multiply
    4,471.68x = 6,171.56 × 2,582.88
  4. Step 4: Simplify right side
    4,471.68x = 15,940,398.89
  5. Step 5: Solve for x
    x = 15,940,398.89/4,471.68
  6. Step 6: Final answer
    x = 3,564.74

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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.