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Finding the Fourth Proportional to 4,981.77, 7,472.67 and 2,761.97

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Solution

The fourth proportional to 4,981.77, 7,472.67 and 2,761.97 is: 4,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.77 : 7,472.67 = 2,761.97 : x
  2. Step 2: Convert to fraction form
    4,981.77/7,472.67 = 2,761.97/x
  3. Step 3: Cross multiply
    4,981.77x = 7,472.67 × 2,761.97
  4. Step 4: Simplify right side
    4,981.77x = 20,639,253.00
  5. Step 5: Solve for x
    x = 20,639,253.00/4,981.77
  6. Step 6: Final answer
    x = 4,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.