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Finding the Fourth Proportional to 3,865.86, 5,339.89 and 2,859.61

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Solution

The fourth proportional to 3,865.86, 5,339.89 and 2,859.61 is: 3,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.86 : 5,339.89 = 2,859.61 : x
  2. Step 2: Convert to fraction form
    3,865.86/5,339.89 = 2,859.61/x
  3. Step 3: Cross multiply
    3,865.86x = 5,339.89 × 2,859.61
  4. Step 4: Simplify right side
    3,865.86x = 15,270,026.50
  5. Step 5: Solve for x
    x = 15,270,026.50/3,865.86
  6. Step 6: Final answer
    x = 3,949.97

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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.