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Finding the Fourth Proportional to 2,855.85, 3,944.06 and 2,546.70

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Solution

The fourth proportional to 2,855.85, 3,944.06 and 2,546.70 is: 3,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.85 : 3,944.06 = 2,546.70 : x
  2. Step 2: Convert to fraction form
    2,855.85/3,944.06 = 2,546.70/x
  3. Step 3: Cross multiply
    2,855.85x = 3,944.06 × 2,546.70
  4. Step 4: Simplify right side
    2,855.85x = 10,044,337.60
  5. Step 5: Solve for x
    x = 10,044,337.60/2,855.85
  6. Step 6: Final answer
    x = 3,517.11

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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.