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Finding the Fourth Proportional to 3,737.00, 5,604.14 and 1,271.16

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Solution

The fourth proportional to 3,737.00, 5,604.14 and 1,271.16 is: 1,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.00 : 5,604.14 = 1,271.16 : x
  2. Step 2: Convert to fraction form
    3,737.00/5,604.14 = 1,271.16/x
  3. Step 3: Cross multiply
    3,737.00x = 5,604.14 × 1,271.16
  4. Step 4: Simplify right side
    3,737.00x = 7,123,752.25
  5. Step 5: Solve for x
    x = 7,123,752.25/3,737.00
  6. Step 6: Final answer
    x = 1,906.28

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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.