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Finding the Fourth Proportional to 5,382.38, 7,427.88 and 2,992.48

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Solution

The fourth proportional to 5,382.38, 7,427.88 and 2,992.48 is: 4,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.38 : 7,427.88 = 2,992.48 : x
  2. Step 2: Convert to fraction form
    5,382.38/7,427.88 = 2,992.48/x
  3. Step 3: Cross multiply
    5,382.38x = 7,427.88 × 2,992.48
  4. Step 4: Simplify right side
    5,382.38x = 22,227,763.77
  5. Step 5: Solve for x
    x = 22,227,763.77/5,382.38
  6. Step 6: Final answer
    x = 4,129.73

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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.