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Finding the Fourth Proportional to 3,753.85, 5,631.38 and 1,156.79

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Solution

The fourth proportional to 3,753.85, 5,631.38 and 1,156.79 is: 1,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.85 : 5,631.38 = 1,156.79 : x
  2. Step 2: Convert to fraction form
    3,753.85/5,631.38 = 1,156.79/x
  3. Step 3: Cross multiply
    3,753.85x = 5,631.38 × 1,156.79
  4. Step 4: Simplify right side
    3,753.85x = 6,514,324.07
  5. Step 5: Solve for x
    x = 6,514,324.07/3,753.85
  6. Step 6: Final answer
    x = 1,735.37

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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.