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Finding the Fourth Proportional to 3,097.90, 4,269.20 and 3,040.97

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Solution

The fourth proportional to 3,097.90, 4,269.20 and 3,040.97 is: 4,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.90 : 4,269.20 = 3,040.97 : x
  2. Step 2: Convert to fraction form
    3,097.90/4,269.20 = 3,040.97/x
  3. Step 3: Cross multiply
    3,097.90x = 4,269.20 × 3,040.97
  4. Step 4: Simplify right side
    3,097.90x = 12,982,487.78
  5. Step 5: Solve for x
    x = 12,982,487.78/3,097.90
  6. Step 6: Final answer
    x = 4,190.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.