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Finding the Fourth Proportional to 3,478.17, 5,218.02 and 1,013.09

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Solution

The fourth proportional to 3,478.17, 5,218.02 and 1,013.09 is: 1,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.17 : 5,218.02 = 1,013.09 : x
  2. Step 2: Convert to fraction form
    3,478.17/5,218.02 = 1,013.09/x
  3. Step 3: Cross multiply
    3,478.17x = 5,218.02 × 1,013.09
  4. Step 4: Simplify right side
    3,478.17x = 5,286,323.88
  5. Step 5: Solve for x
    x = 5,286,323.88/3,478.17
  6. Step 6: Final answer
    x = 1,519.86

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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.