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Finding the Fourth Proportional to 4,271.88, 5,891.10 and 2,943.48

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Solution

The fourth proportional to 4,271.88, 5,891.10 and 2,943.48 is: 4,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.88 : 5,891.10 = 2,943.48 : x
  2. Step 2: Convert to fraction form
    4,271.88/5,891.10 = 2,943.48/x
  3. Step 3: Cross multiply
    4,271.88x = 5,891.10 × 2,943.48
  4. Step 4: Simplify right side
    4,271.88x = 17,340,335.03
  5. Step 5: Solve for x
    x = 17,340,335.03/4,271.88
  6. Step 6: Final answer
    x = 4,059.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.