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Finding the Fourth Proportional to 4,753.91, 7,127.02 and 1,982.66

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Solution

The fourth proportional to 4,753.91, 7,127.02 and 1,982.66 is: 2,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.91 : 7,127.02 = 1,982.66 : x
  2. Step 2: Convert to fraction form
    4,753.91/7,127.02 = 1,982.66/x
  3. Step 3: Cross multiply
    4,753.91x = 7,127.02 × 1,982.66
  4. Step 4: Simplify right side
    4,753.91x = 14,130,470.33
  5. Step 5: Solve for x
    x = 14,130,470.33/4,753.91
  6. Step 6: Final answer
    x = 2,972.39

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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.