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Finding the Fourth Proportional to 3,697.92, 5,542.56 and 1,966.08

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Solution

The fourth proportional to 3,697.92, 5,542.56 and 1,966.08 is: 2,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.92 : 5,542.56 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    3,697.92/5,542.56 = 1,966.08/x
  3. Step 3: Cross multiply
    3,697.92x = 5,542.56 × 1,966.08
  4. Step 4: Simplify right side
    3,697.92x = 10,897,116.36
  5. Step 5: Solve for x
    x = 10,897,116.36/3,697.92
  6. Step 6: Final answer
    x = 2,946.82

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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.