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Finding the Fourth Proportional to 3,538.54, 4,882.44 and 1,966.60

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Solution

The fourth proportional to 3,538.54, 4,882.44 and 1,966.60 is: 2,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.54 : 4,882.44 = 1,966.60 : x
  2. Step 2: Convert to fraction form
    3,538.54/4,882.44 = 1,966.60/x
  3. Step 3: Cross multiply
    3,538.54x = 4,882.44 × 1,966.60
  4. Step 4: Simplify right side
    3,538.54x = 9,601,806.50
  5. Step 5: Solve for x
    x = 9,601,806.50/3,538.54
  6. Step 6: Final answer
    x = 2,713.49

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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.