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Finding the Fourth Proportional to 3,431.95, 5,147.93 and 1,791.70

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Solution

The fourth proportional to 3,431.95, 5,147.93 and 1,791.70 is: 2,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.95 : 5,147.93 = 1,791.70 : x
  2. Step 2: Convert to fraction form
    3,431.95/5,147.93 = 1,791.70/x
  3. Step 3: Cross multiply
    3,431.95x = 5,147.93 × 1,791.70
  4. Step 4: Simplify right side
    3,431.95x = 9,223,524.35
  5. Step 5: Solve for x
    x = 9,223,524.35/3,431.95
  6. Step 6: Final answer
    x = 2,687.55

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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.