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Finding the Fourth Proportional to 3,711.90, 5,112.78 and 2,590.80

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Solution

The fourth proportional to 3,711.90, 5,112.78 and 2,590.80 is: 3,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.90 : 5,112.78 = 2,590.80 : x
  2. Step 2: Convert to fraction form
    3,711.90/5,112.78 = 2,590.80/x
  3. Step 3: Cross multiply
    3,711.90x = 5,112.78 × 2,590.80
  4. Step 4: Simplify right side
    3,711.90x = 13,246,190.42
  5. Step 5: Solve for x
    x = 13,246,190.42/3,711.90
  6. Step 6: Final answer
    x = 3,568.57

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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.