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Finding the Fourth Proportional to 5,836.77, 8,751.62 and 2,327.31

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Solution

The fourth proportional to 5,836.77, 8,751.62 and 2,327.31 is: 3,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.77 : 8,751.62 = 2,327.31 : x
  2. Step 2: Convert to fraction form
    5,836.77/8,751.62 = 2,327.31/x
  3. Step 3: Cross multiply
    5,836.77x = 8,751.62 × 2,327.31
  4. Step 4: Simplify right side
    5,836.77x = 20,367,721.11
  5. Step 5: Solve for x
    x = 20,367,721.11/5,836.77
  6. Step 6: Final answer
    x = 3,489.55

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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.