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Finding the Fourth Proportional to 5,811.89, 8,717.85 and 3,214.82

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Solution

The fourth proportional to 5,811.89, 8,717.85 and 3,214.82 is: 4,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.89 : 8,717.85 = 3,214.82 : x
  2. Step 2: Convert to fraction form
    5,811.89/8,717.85 = 3,214.82/x
  3. Step 3: Cross multiply
    5,811.89x = 8,717.85 × 3,214.82
  4. Step 4: Simplify right side
    5,811.89x = 28,026,340.33
  5. Step 5: Solve for x
    x = 28,026,340.33/5,811.89
  6. Step 6: Final answer
    x = 4,822.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.