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Finding the Fourth Proportional to 5,279.32, 7,901.81 and 3,892.10

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Solution

The fourth proportional to 5,279.32, 7,901.81 and 3,892.10 is: 5,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.32 : 7,901.81 = 3,892.10 : x
  2. Step 2: Convert to fraction form
    5,279.32/7,901.81 = 3,892.10/x
  3. Step 3: Cross multiply
    5,279.32x = 7,901.81 × 3,892.10
  4. Step 4: Simplify right side
    5,279.32x = 30,754,634.70
  5. Step 5: Solve for x
    x = 30,754,634.70/5,279.32
  6. Step 6: Final answer
    x = 5,825.49

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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.