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Finding the Fourth Proportional to 5,873.86, 8,099.13 and 3,986.66

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Solution

The fourth proportional to 5,873.86, 8,099.13 and 3,986.66 is: 5,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.86 : 8,099.13 = 3,986.66 : x
  2. Step 2: Convert to fraction form
    5,873.86/8,099.13 = 3,986.66/x
  3. Step 3: Cross multiply
    5,873.86x = 8,099.13 × 3,986.66
  4. Step 4: Simplify right side
    5,873.86x = 32,288,504.31
  5. Step 5: Solve for x
    x = 32,288,504.31/5,873.86
  6. Step 6: Final answer
    x = 5,496.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.