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Finding the Fourth Proportional to 4,270.32, 5,891.40 and 2,592

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Solution

The fourth proportional to 4,270.32, 5,891.40 and 2,592 is: 3,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.32 : 5,891.40 = 2,592 : x
  2. Step 2: Convert to fraction form
    4,270.32/5,891.40 = 2,592/x
  3. Step 3: Cross multiply
    4,270.32x = 5,891.40 × 2,592
  4. Step 4: Simplify right side
    4,270.32x = 15,270,508.80
  5. Step 5: Solve for x
    x = 15,270,508.80/4,270.32
  6. Step 6: Final answer
    x = 3,575.96

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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.