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Finding the Fourth Proportional to 5,279.50, 7,285.71 and 2,922

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Solution

The fourth proportional to 5,279.50, 7,285.71 and 2,922 is: 4,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.50 : 7,285.71 = 2,922 : x
  2. Step 2: Convert to fraction form
    5,279.50/7,285.71 = 2,922/x
  3. Step 3: Cross multiply
    5,279.50x = 7,285.71 × 2,922
  4. Step 4: Simplify right side
    5,279.50x = 21,288,844.62
  5. Step 5: Solve for x
    x = 21,288,844.62/5,279.50
  6. Step 6: Final answer
    x = 4,032.36

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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.