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Finding the Fourth Proportional to 3,478.40, 5,217.95 and 1,013.24

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Solution

The fourth proportional to 3,478.40, 5,217.95 and 1,013.24 is: 1,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.40 : 5,217.95 = 1,013.24 : x
  2. Step 2: Convert to fraction form
    3,478.40/5,217.95 = 1,013.24/x
  3. Step 3: Cross multiply
    3,478.40x = 5,217.95 × 1,013.24
  4. Step 4: Simplify right side
    3,478.40x = 5,287,035.66
  5. Step 5: Solve for x
    x = 5,287,035.66/3,478.40
  6. Step 6: Final answer
    x = 1,519.96

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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.