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Finding the Fourth Proportional to 5,876.87, 8,109.65 and 3,223.85

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Solution

The fourth proportional to 5,876.87, 8,109.65 and 3,223.85 is: 4,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.87 : 8,109.65 = 3,223.85 : x
  2. Step 2: Convert to fraction form
    5,876.87/8,109.65 = 3,223.85/x
  3. Step 3: Cross multiply
    5,876.87x = 8,109.65 × 3,223.85
  4. Step 4: Simplify right side
    5,876.87x = 26,144,262.66
  5. Step 5: Solve for x
    x = 26,144,262.66/5,876.87
  6. Step 6: Final answer
    x = 4,448.68

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