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Finding the Fourth Proportional to 5,222.71, 7,832.85 and 2,446.75

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Solution

The fourth proportional to 5,222.71, 7,832.85 and 2,446.75 is: 3,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.71 : 7,832.85 = 2,446.75 : x
  2. Step 2: Convert to fraction form
    5,222.71/7,832.85 = 2,446.75/x
  3. Step 3: Cross multiply
    5,222.71x = 7,832.85 × 2,446.75
  4. Step 4: Simplify right side
    5,222.71x = 19,165,025.74
  5. Step 5: Solve for x
    x = 19,165,025.74/5,222.71
  6. Step 6: Final answer
    x = 3,669.56

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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.