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Finding the Fourth Proportional to 3,966.89, 5,471.81 and 2,552.41

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Solution

The fourth proportional to 3,966.89, 5,471.81 and 2,552.41 is: 3,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.89 : 5,471.81 = 2,552.41 : x
  2. Step 2: Convert to fraction form
    3,966.89/5,471.81 = 2,552.41/x
  3. Step 3: Cross multiply
    3,966.89x = 5,471.81 × 2,552.41
  4. Step 4: Simplify right side
    3,966.89x = 13,966,276.12
  5. Step 5: Solve for x
    x = 13,966,276.12/3,966.89
  6. Step 6: Final answer
    x = 3,520.72

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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.