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Finding the Fourth Proportional to 3,546.39, 5,311.67 and 2,570.25

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Solution

The fourth proportional to 3,546.39, 5,311.67 and 2,570.25 is: 3,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.39 : 5,311.67 = 2,570.25 : x
  2. Step 2: Convert to fraction form
    3,546.39/5,311.67 = 2,570.25/x
  3. Step 3: Cross multiply
    3,546.39x = 5,311.67 × 2,570.25
  4. Step 4: Simplify right side
    3,546.39x = 13,652,306.97
  5. Step 5: Solve for x
    x = 13,652,306.97/3,546.39
  6. Step 6: Final answer
    x = 3,849.63

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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.