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Finding the Fourth Proportional to 5,917, 8,878.74 and 2,839

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Solution

The fourth proportional to 5,917, 8,878.74 and 2,839 is: 4,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917 : 8,878.74 = 2,839 : x
  2. Step 2: Convert to fraction form
    5,917/8,878.74 = 2,839/x
  3. Step 3: Cross multiply
    5,917x = 8,878.74 × 2,839
  4. Step 4: Simplify right side
    5,917x = 25,206,742.86
  5. Step 5: Solve for x
    x = 25,206,742.86/5,917
  6. Step 6: Final answer
    x = 4,260.05

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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.