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Finding the Fourth Proportional to 3,325.76, 4,989.79 and 1,478.17

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Solution

The fourth proportional to 3,325.76, 4,989.79 and 1,478.17 is: 2,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.76 : 4,989.79 = 1,478.17 : x
  2. Step 2: Convert to fraction form
    3,325.76/4,989.79 = 1,478.17/x
  3. Step 3: Cross multiply
    3,325.76x = 4,989.79 × 1,478.17
  4. Step 4: Simplify right side
    3,325.76x = 7,375,765.97
  5. Step 5: Solve for x
    x = 7,375,765.97/3,325.76
  6. Step 6: Final answer
    x = 2,217.77

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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.