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Finding the Fourth Proportional to 5,963.86, 8,230.34 and 3,311.47

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Solution

The fourth proportional to 5,963.86, 8,230.34 and 3,311.47 is: 4,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.86 : 8,230.34 = 3,311.47 : x
  2. Step 2: Convert to fraction form
    5,963.86/8,230.34 = 3,311.47/x
  3. Step 3: Cross multiply
    5,963.86x = 8,230.34 × 3,311.47
  4. Step 4: Simplify right side
    5,963.86x = 27,254,466.29
  5. Step 5: Solve for x
    x = 27,254,466.29/5,963.86
  6. Step 6: Final answer
    x = 4,569.94

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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.