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Finding the Fourth Proportional to 5,966.52, 8,948.42 and 2,269.16

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Solution

The fourth proportional to 5,966.52, 8,948.42 and 2,269.16 is: 3,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.52 : 8,948.42 = 2,269.16 : x
  2. Step 2: Convert to fraction form
    5,966.52/8,948.42 = 2,269.16/x
  3. Step 3: Cross multiply
    5,966.52x = 8,948.42 × 2,269.16
  4. Step 4: Simplify right side
    5,966.52x = 20,305,396.73
  5. Step 5: Solve for x
    x = 20,305,396.73/5,966.52
  6. Step 6: Final answer
    x = 3,403.22

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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.