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Finding the Fourth Proportional to 5,249.88, 7,874.82 and 1,301.13

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Solution

The fourth proportional to 5,249.88, 7,874.82 and 1,301.13 is: 1,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.88 : 7,874.82 = 1,301.13 : x
  2. Step 2: Convert to fraction form
    5,249.88/7,874.82 = 1,301.13/x
  3. Step 3: Cross multiply
    5,249.88x = 7,874.82 × 1,301.13
  4. Step 4: Simplify right side
    5,249.88x = 10,246,164.55
  5. Step 5: Solve for x
    x = 10,246,164.55/5,249.88
  6. Step 6: Final answer
    x = 1,951.70

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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.