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Finding the Fourth Proportional to 3,298.80, 4,948.20 and 3,171.24

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Solution

The fourth proportional to 3,298.80, 4,948.20 and 3,171.24 is: 4,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.80 : 4,948.20 = 3,171.24 : x
  2. Step 2: Convert to fraction form
    3,298.80/4,948.20 = 3,171.24/x
  3. Step 3: Cross multiply
    3,298.80x = 4,948.20 × 3,171.24
  4. Step 4: Simplify right side
    3,298.80x = 15,691,929.77
  5. Step 5: Solve for x
    x = 15,691,929.77/3,298.80
  6. Step 6: Final answer
    x = 4,756.86

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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.