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Finding the Fourth Proportional to 5,765.85, 8,641.22 and 3,301.83

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Solution

The fourth proportional to 5,765.85, 8,641.22 and 3,301.83 is: 4,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.85 : 8,641.22 = 3,301.83 : x
  2. Step 2: Convert to fraction form
    5,765.85/8,641.22 = 3,301.83/x
  3. Step 3: Cross multiply
    5,765.85x = 8,641.22 × 3,301.83
  4. Step 4: Simplify right side
    5,765.85x = 28,531,822.92
  5. Step 5: Solve for x
    x = 28,531,822.92/5,765.85
  6. Step 6: Final answer
    x = 4,948.42

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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.