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Finding the Fourth Proportional to 3,753.93, 5,631 and 1,288.71

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Solution

The fourth proportional to 3,753.93, 5,631 and 1,288.71 is: 1,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.93 : 5,631 = 1,288.71 : x
  2. Step 2: Convert to fraction form
    3,753.93/5,631 = 1,288.71/x
  3. Step 3: Cross multiply
    3,753.93x = 5,631 × 1,288.71
  4. Step 4: Simplify right side
    3,753.93x = 7,256,711.93
  5. Step 5: Solve for x
    x = 7,256,711.93/3,753.93
  6. Step 6: Final answer
    x = 1,933.10

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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.