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Finding the Fourth Proportional to 5,876.76, 8,109.52 and 3,223.62

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Solution

The fourth proportional to 5,876.76, 8,109.52 and 3,223.62 is: 4,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.76 : 8,109.52 = 3,223.62 : x
  2. Step 2: Convert to fraction form
    5,876.76/8,109.52 = 3,223.62/x
  3. Step 3: Cross multiply
    5,876.76x = 8,109.52 × 3,223.62
  4. Step 4: Simplify right side
    5,876.76x = 26,142,010.86
  5. Step 5: Solve for x
    x = 26,142,010.86/5,876.76
  6. Step 6: Final answer
    x = 4,448.37

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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.