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Finding the Fourth Proportional to 3,288.38, 4,933.42 and 979.88

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Solution

The fourth proportional to 3,288.38, 4,933.42 and 979.88 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.38 : 4,933.42 = 979.88 : x
  2. Step 2: Convert to fraction form
    3,288.38/4,933.42 = 979.88/x
  3. Step 3: Cross multiply
    3,288.38x = 4,933.42 × 979.88
  4. Step 4: Simplify right side
    3,288.38x = 4,834,132.47
  5. Step 5: Solve for x
    x = 4,834,132.47/3,288.38
  6. Step 6: Final answer
    x = 1,470.07

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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.