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Finding the Fourth Proportional to 4,776.92, 7,166.98 and 2,144.17

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Solution

The fourth proportional to 4,776.92, 7,166.98 and 2,144.17 is: 3,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.92 : 7,166.98 = 2,144.17 : x
  2. Step 2: Convert to fraction form
    4,776.92/7,166.98 = 2,144.17/x
  3. Step 3: Cross multiply
    4,776.92x = 7,166.98 × 2,144.17
  4. Step 4: Simplify right side
    4,776.92x = 15,367,235.15
  5. Step 5: Solve for x
    x = 15,367,235.15/4,776.92
  6. Step 6: Final answer
    x = 3,216.97

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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.