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Finding the Fourth Proportional to 3,478.26, 5,217.12 and 1,013.10

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Solution

The fourth proportional to 3,478.26, 5,217.12 and 1,013.10 is: 1,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.26 : 5,217.12 = 1,013.10 : x
  2. Step 2: Convert to fraction form
    3,478.26/5,217.12 = 1,013.10/x
  3. Step 3: Cross multiply
    3,478.26x = 5,217.12 × 1,013.10
  4. Step 4: Simplify right side
    3,478.26x = 5,285,464.27
  5. Step 5: Solve for x
    x = 5,285,464.27/3,478.26
  6. Step 6: Final answer
    x = 1,519.57

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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.