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Finding the Fourth Proportional to 5,876.86, 8,821.08 and 3,997

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Solution

The fourth proportional to 5,876.86, 8,821.08 and 3,997 is: 5,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.86 : 8,821.08 = 3,997 : x
  2. Step 2: Convert to fraction form
    5,876.86/8,821.08 = 3,997/x
  3. Step 3: Cross multiply
    5,876.86x = 8,821.08 × 3,997
  4. Step 4: Simplify right side
    5,876.86x = 35,257,856.76
  5. Step 5: Solve for x
    x = 35,257,856.76/5,876.86
  6. Step 6: Final answer
    x = 5,999.44

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Why These Related Problems?

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