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Finding the Fourth Proportional to 3,102.59, 4,269.06 and 3,028.78

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Solution

The fourth proportional to 3,102.59, 4,269.06 and 3,028.78 is: 4,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.59 : 4,269.06 = 3,028.78 : x
  2. Step 2: Convert to fraction form
    3,102.59/4,269.06 = 3,028.78/x
  3. Step 3: Cross multiply
    3,102.59x = 4,269.06 × 3,028.78
  4. Step 4: Simplify right side
    3,102.59x = 12,930,022.20
  5. Step 5: Solve for x
    x = 12,930,022.20/3,102.59
  6. Step 6: Final answer
    x = 4,167.49

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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.