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Finding the Fourth Proportional to 3,257.62, 4,882.98 and 1,065.76

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Solution

The fourth proportional to 3,257.62, 4,882.98 and 1,065.76 is: 1,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.62 : 4,882.98 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    3,257.62/4,882.98 = 1,065.76/x
  3. Step 3: Cross multiply
    3,257.62x = 4,882.98 × 1,065.76
  4. Step 4: Simplify right side
    3,257.62x = 5,204,084.76
  5. Step 5: Solve for x
    x = 5,204,084.76/3,257.62
  6. Step 6: Final answer
    x = 1,597.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.