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Finding the Fourth Proportional to 3,981.73, 5,972.80 and 1,516.73

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Solution

The fourth proportional to 3,981.73, 5,972.80 and 1,516.73 is: 2,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.73 : 5,972.80 = 1,516.73 : x
  2. Step 2: Convert to fraction form
    3,981.73/5,972.80 = 1,516.73/x
  3. Step 3: Cross multiply
    3,981.73x = 5,972.80 × 1,516.73
  4. Step 4: Simplify right side
    3,981.73x = 9,059,124.94
  5. Step 5: Solve for x
    x = 9,059,124.94/3,981.73
  6. Step 6: Final answer
    x = 2,275.17

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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.