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Finding the Fourth Proportional to 3,753.70, 5,641.48 and 1,807.27

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Solution

The fourth proportional to 3,753.70, 5,641.48 and 1,807.27 is: 2,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.70 : 5,641.48 = 1,807.27 : x
  2. Step 2: Convert to fraction form
    3,753.70/5,641.48 = 1,807.27/x
  3. Step 3: Cross multiply
    3,753.70x = 5,641.48 × 1,807.27
  4. Step 4: Simplify right side
    3,753.70x = 10,195,677.56
  5. Step 5: Solve for x
    x = 10,195,677.56/3,753.70
  6. Step 6: Final answer
    x = 2,716.17

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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.