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Finding the Fourth Proportional to 3,538.37, 4,882.92 and 1,966.43

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Solution

The fourth proportional to 3,538.37, 4,882.92 and 1,966.43 is: 2,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.37 : 4,882.92 = 1,966.43 : x
  2. Step 2: Convert to fraction form
    3,538.37/4,882.92 = 1,966.43/x
  3. Step 3: Cross multiply
    3,538.37x = 4,882.92 × 1,966.43
  4. Step 4: Simplify right side
    3,538.37x = 9,601,920.38
  5. Step 5: Solve for x
    x = 9,601,920.38/3,538.37
  6. Step 6: Final answer
    x = 2,713.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.