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Finding the Fourth Proportional to 4,231.54, 6,349.14 and 1,766.91

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Solution

The fourth proportional to 4,231.54, 6,349.14 and 1,766.91 is: 2,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.54 : 6,349.14 = 1,766.91 : x
  2. Step 2: Convert to fraction form
    4,231.54/6,349.14 = 1,766.91/x
  3. Step 3: Cross multiply
    4,231.54x = 6,349.14 × 1,766.91
  4. Step 4: Simplify right side
    4,231.54x = 11,218,358.96
  5. Step 5: Solve for x
    x = 11,218,358.96/4,231.54
  6. Step 6: Final answer
    x = 2,651.13

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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.