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Finding the Fourth Proportional to 3,737.60, 5,604.56 and 2,178.14

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Solution

The fourth proportional to 3,737.60, 5,604.56 and 2,178.14 is: 3,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.60 : 5,604.56 = 2,178.14 : x
  2. Step 2: Convert to fraction form
    3,737.60/5,604.56 = 2,178.14/x
  3. Step 3: Cross multiply
    3,737.60x = 5,604.56 × 2,178.14
  4. Step 4: Simplify right side
    3,737.60x = 12,207,516.32
  5. Step 5: Solve for x
    x = 12,207,516.32/3,737.60
  6. Step 6: Final answer
    x = 3,266.14

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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.