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Finding the Fourth Proportional to 3,538.35, 4,882.87 and 1,966.41

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Solution

The fourth proportional to 3,538.35, 4,882.87 and 1,966.41 is: 2,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.35 : 4,882.87 = 1,966.41 : x
  2. Step 2: Convert to fraction form
    3,538.35/4,882.87 = 1,966.41/x
  3. Step 3: Cross multiply
    3,538.35x = 4,882.87 × 1,966.41
  4. Step 4: Simplify right side
    3,538.35x = 9,601,724.40
  5. Step 5: Solve for x
    x = 9,601,724.40/3,538.35
  6. Step 6: Final answer
    x = 2,713.62

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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.