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Finding the Fourth Proportional to 5,969.75, 8,957.91 and 2,891.75

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Solution

The fourth proportional to 5,969.75, 8,957.91 and 2,891.75 is: 4,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.75 : 8,957.91 = 2,891.75 : x
  2. Step 2: Convert to fraction form
    5,969.75/8,957.91 = 2,891.75/x
  3. Step 3: Cross multiply
    5,969.75x = 8,957.91 × 2,891.75
  4. Step 4: Simplify right side
    5,969.75x = 25,904,036.24
  5. Step 5: Solve for x
    x = 25,904,036.24/5,969.75
  6. Step 6: Final answer
    x = 4,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.