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Finding the Fourth Proportional to 3,737.40, 5,158.24 and 2,166.44

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Solution

The fourth proportional to 3,737.40, 5,158.24 and 2,166.44 is: 2,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.40 : 5,158.24 = 2,166.44 : x
  2. Step 2: Convert to fraction form
    3,737.40/5,158.24 = 2,166.44/x
  3. Step 3: Cross multiply
    3,737.40x = 5,158.24 × 2,166.44
  4. Step 4: Simplify right side
    3,737.40x = 11,175,017.47
  5. Step 5: Solve for x
    x = 11,175,017.47/3,737.40
  6. Step 6: Final answer
    x = 2,990.05

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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.