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Finding the Fourth Proportional to 3,538.29, 4,882.71 and 1,966.49

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Solution

The fourth proportional to 3,538.29, 4,882.71 and 1,966.49 is: 2,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.29 : 4,882.71 = 1,966.49 : x
  2. Step 2: Convert to fraction form
    3,538.29/4,882.71 = 1,966.49/x
  3. Step 3: Cross multiply
    3,538.29x = 4,882.71 × 1,966.49
  4. Step 4: Simplify right side
    3,538.29x = 9,601,800.39
  5. Step 5: Solve for x
    x = 9,601,800.39/3,538.29
  6. Step 6: Final answer
    x = 2,713.68

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