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Finding the Fourth Proportional to 5,279.64, 7,286 and 3,042.24

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Solution

The fourth proportional to 5,279.64, 7,286 and 3,042.24 is: 4,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.64 : 7,286 = 3,042.24 : x
  2. Step 2: Convert to fraction form
    5,279.64/7,286 = 3,042.24/x
  3. Step 3: Cross multiply
    5,279.64x = 7,286 × 3,042.24
  4. Step 4: Simplify right side
    5,279.64x = 22,165,760.64
  5. Step 5: Solve for x
    x = 22,165,760.64/5,279.64
  6. Step 6: Final answer
    x = 4,198.35

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