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Finding the Fourth Proportional to 3,103.97, 4,677.34 and 2,568.20

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Solution

The fourth proportional to 3,103.97, 4,677.34 and 2,568.20 is: 3,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.97 : 4,677.34 = 2,568.20 : x
  2. Step 2: Convert to fraction form
    3,103.97/4,677.34 = 2,568.20/x
  3. Step 3: Cross multiply
    3,103.97x = 4,677.34 × 2,568.20
  4. Step 4: Simplify right side
    3,103.97x = 12,012,331.75
  5. Step 5: Solve for x
    x = 12,012,331.75/3,103.97
  6. Step 6: Final answer
    x = 3,869.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.