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Finding the Fourth Proportional to 5,414.79, 8,111.82 and 3,216.84

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Solution

The fourth proportional to 5,414.79, 8,111.82 and 3,216.84 is: 4,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.79 : 8,111.82 = 3,216.84 : x
  2. Step 2: Convert to fraction form
    5,414.79/8,111.82 = 3,216.84/x
  3. Step 3: Cross multiply
    5,414.79x = 8,111.82 × 3,216.84
  4. Step 4: Simplify right side
    5,414.79x = 26,094,427.05
  5. Step 5: Solve for x
    x = 26,094,427.05/5,414.79
  6. Step 6: Final answer
    x = 4,819.10

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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.