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Finding the Fourth Proportional to 3,838.52, 5,755.73 and 1,372.00

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Solution

The fourth proportional to 3,838.52, 5,755.73 and 1,372.00 is: 2,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.52 : 5,755.73 = 1,372.00 : x
  2. Step 2: Convert to fraction form
    3,838.52/5,755.73 = 1,372.00/x
  3. Step 3: Cross multiply
    3,838.52x = 5,755.73 × 1,372.00
  4. Step 4: Simplify right side
    3,838.52x = 7,896,832.78
  5. Step 5: Solve for x
    x = 7,896,832.78/3,838.52
  6. Step 6: Final answer
    x = 2,057.26

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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.