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Finding the Fourth Proportional to 3,478.82, 5,217.06 and 1,013

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Solution

The fourth proportional to 3,478.82, 5,217.06 and 1,013 is: 1,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.82 : 5,217.06 = 1,013 : x
  2. Step 2: Convert to fraction form
    3,478.82/5,217.06 = 1,013/x
  3. Step 3: Cross multiply
    3,478.82x = 5,217.06 × 1,013
  4. Step 4: Simplify right side
    3,478.82x = 5,284,881.78
  5. Step 5: Solve for x
    x = 5,284,881.78/3,478.82
  6. Step 6: Final answer
    x = 1,519.16

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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.