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Finding the Fourth Proportional to 5,842.58, 8,766.12 and 2,147.36

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Solution

The fourth proportional to 5,842.58, 8,766.12 and 2,147.36 is: 3,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.58 : 8,766.12 = 2,147.36 : x
  2. Step 2: Convert to fraction form
    5,842.58/8,766.12 = 2,147.36/x
  3. Step 3: Cross multiply
    5,842.58x = 8,766.12 × 2,147.36
  4. Step 4: Simplify right side
    5,842.58x = 18,823,971.61
  5. Step 5: Solve for x
    x = 18,823,971.61/5,842.58
  6. Step 6: Final answer
    x = 3,221.86

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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.