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Finding the Fourth Proportional to 5,876.86, 8,109.75 and 3,359.20

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Solution

The fourth proportional to 5,876.86, 8,109.75 and 3,359.20 is: 4,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.86 : 8,109.75 = 3,359.20 : x
  2. Step 2: Convert to fraction form
    5,876.86/8,109.75 = 3,359.20/x
  3. Step 3: Cross multiply
    5,876.86x = 8,109.75 × 3,359.20
  4. Step 4: Simplify right side
    5,876.86x = 27,242,272.20
  5. Step 5: Solve for x
    x = 27,242,272.20/5,876.86
  6. Step 6: Final answer
    x = 4,635.51

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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.