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Finding the Fourth Proportional to 3,397.83, 5,097.12 and 3,049.02

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Solution

The fourth proportional to 3,397.83, 5,097.12 and 3,049.02 is: 4,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.83 : 5,097.12 = 3,049.02 : x
  2. Step 2: Convert to fraction form
    3,397.83/5,097.12 = 3,049.02/x
  3. Step 3: Cross multiply
    3,397.83x = 5,097.12 × 3,049.02
  4. Step 4: Simplify right side
    3,397.83x = 15,541,220.82
  5. Step 5: Solve for x
    x = 15,541,220.82/3,397.83
  6. Step 6: Final answer
    x = 4,573.87

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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.