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Finding the Fourth Proportional to 3,440.88, 5,160.71 and 1,591.65

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Solution

The fourth proportional to 3,440.88, 5,160.71 and 1,591.65 is: 2,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.88 : 5,160.71 = 1,591.65 : x
  2. Step 2: Convert to fraction form
    3,440.88/5,160.71 = 1,591.65/x
  3. Step 3: Cross multiply
    3,440.88x = 5,160.71 × 1,591.65
  4. Step 4: Simplify right side
    3,440.88x = 8,214,048.05
  5. Step 5: Solve for x
    x = 8,214,048.05/3,440.88
  6. Step 6: Final answer
    x = 2,387.19

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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.