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Finding the Fourth Proportional to 3,442.65, 5,160.87 and 1,249.85

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Solution

The fourth proportional to 3,442.65, 5,160.87 and 1,249.85 is: 1,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.65 : 5,160.87 = 1,249.85 : x
  2. Step 2: Convert to fraction form
    3,442.65/5,160.87 = 1,249.85/x
  3. Step 3: Cross multiply
    3,442.65x = 5,160.87 × 1,249.85
  4. Step 4: Simplify right side
    3,442.65x = 6,450,287.57
  5. Step 5: Solve for x
    x = 6,450,287.57/3,442.65
  6. Step 6: Final answer
    x = 1,873.64

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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.