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Finding the Fourth Proportional to 4,171.70, 6,257.52 and 1,249.89

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Solution

The fourth proportional to 4,171.70, 6,257.52 and 1,249.89 is: 1,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.70 : 6,257.52 = 1,249.89 : x
  2. Step 2: Convert to fraction form
    4,171.70/6,257.52 = 1,249.89/x
  3. Step 3: Cross multiply
    4,171.70x = 6,257.52 × 1,249.89
  4. Step 4: Simplify right side
    4,171.70x = 7,821,211.67
  5. Step 5: Solve for x
    x = 7,821,211.67/4,171.70
  6. Step 6: Final answer
    x = 1,874.83

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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.