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Finding the Fourth Proportional to 4,144.92, 6,217.18 and 1,547.66

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Solution

The fourth proportional to 4,144.92, 6,217.18 and 1,547.66 is: 2,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.92 : 6,217.18 = 1,547.66 : x
  2. Step 2: Convert to fraction form
    4,144.92/6,217.18 = 1,547.66/x
  3. Step 3: Cross multiply
    4,144.92x = 6,217.18 × 1,547.66
  4. Step 4: Simplify right side
    4,144.92x = 9,622,049.71
  5. Step 5: Solve for x
    x = 9,622,049.71/4,144.92
  6. Step 6: Final answer
    x = 2,321.41

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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.