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Finding the Fourth Proportional to 3,478.12, 5,217.17 and 2,016.32

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Solution

The fourth proportional to 3,478.12, 5,217.17 and 2,016.32 is: 3,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.12 : 5,217.17 = 2,016.32 : x
  2. Step 2: Convert to fraction form
    3,478.12/5,217.17 = 2,016.32/x
  3. Step 3: Cross multiply
    3,478.12x = 5,217.17 × 2,016.32
  4. Step 4: Simplify right side
    3,478.12x = 10,519,484.21
  5. Step 5: Solve for x
    x = 10,519,484.21/3,478.12
  6. Step 6: Final answer
    x = 3,024.47

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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.