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Finding the Fourth Proportional to 3,846.56, 5,770.66 and 1,249.70

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Solution

The fourth proportional to 3,846.56, 5,770.66 and 1,249.70 is: 1,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.56 : 5,770.66 = 1,249.70 : x
  2. Step 2: Convert to fraction form
    3,846.56/5,770.66 = 1,249.70/x
  3. Step 3: Cross multiply
    3,846.56x = 5,770.66 × 1,249.70
  4. Step 4: Simplify right side
    3,846.56x = 7,211,605.10
  5. Step 5: Solve for x
    x = 7,211,605.10/3,846.56
  6. Step 6: Final answer
    x = 1,874.82

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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.