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Finding the Fourth Proportional to 3,538.14, 4,882.41 and 1,966.14

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Solution

The fourth proportional to 3,538.14, 4,882.41 and 1,966.14 is: 2,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.14 : 4,882.41 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    3,538.14/4,882.41 = 1,966.14/x
  3. Step 3: Cross multiply
    3,538.14x = 4,882.41 × 1,966.14
  4. Step 4: Simplify right side
    3,538.14x = 9,599,501.60
  5. Step 5: Solve for x
    x = 9,599,501.60/3,538.14
  6. Step 6: Final answer
    x = 2,713.15

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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.