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Finding the Fourth Proportional to 5,963.48, 8,932.26 and 2,879

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Solution

The fourth proportional to 5,963.48, 8,932.26 and 2,879 is: 4,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.48 : 8,932.26 = 2,879 : x
  2. Step 2: Convert to fraction form
    5,963.48/8,932.26 = 2,879/x
  3. Step 3: Cross multiply
    5,963.48x = 8,932.26 × 2,879
  4. Step 4: Simplify right side
    5,963.48x = 25,715,976.54
  5. Step 5: Solve for x
    x = 25,715,976.54/5,963.48
  6. Step 6: Final answer
    x = 4,312.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.