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Finding the Fourth Proportional to 3,737.60, 5,158.56 and 2,166.56

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Solution

The fourth proportional to 3,737.60, 5,158.56 and 2,166.56 is: 2,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.60 : 5,158.56 = 2,166.56 : x
  2. Step 2: Convert to fraction form
    3,737.60/5,158.56 = 2,166.56/x
  3. Step 3: Cross multiply
    3,737.60x = 5,158.56 × 2,166.56
  4. Step 4: Simplify right side
    3,737.60x = 11,176,329.75
  5. Step 5: Solve for x
    x = 11,176,329.75/3,737.60
  6. Step 6: Final answer
    x = 2,990.24

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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.