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Finding the Fourth Proportional to 5,286.80, 7,296 and 2,929.20

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Solution

The fourth proportional to 5,286.80, 7,296 and 2,929.20 is: 4,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.80 : 7,296 = 2,929.20 : x
  2. Step 2: Convert to fraction form
    5,286.80/7,296 = 2,929.20/x
  3. Step 3: Cross multiply
    5,286.80x = 7,296 × 2,929.20
  4. Step 4: Simplify right side
    5,286.80x = 21,371,443.20
  5. Step 5: Solve for x
    x = 21,371,443.20/5,286.80
  6. Step 6: Final answer
    x = 4,042.42

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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.