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Finding the Fourth Proportional to 5,983.86, 8,258.31 and 3,627.66

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Solution

The fourth proportional to 5,983.86, 8,258.31 and 3,627.66 is: 5,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.86 : 8,258.31 = 3,627.66 : x
  2. Step 2: Convert to fraction form
    5,983.86/8,258.31 = 3,627.66/x
  3. Step 3: Cross multiply
    5,983.86x = 8,258.31 × 3,627.66
  4. Step 4: Simplify right side
    5,983.86x = 29,958,340.85
  5. Step 5: Solve for x
    x = 29,958,340.85/5,983.86
  6. Step 6: Final answer
    x = 5,006.52

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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.