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Finding the Fourth Proportional to 5,471.22, 8,201.16 and 2,547.12

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Solution

The fourth proportional to 5,471.22, 8,201.16 and 2,547.12 is: 3,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.22 : 8,201.16 = 2,547.12 : x
  2. Step 2: Convert to fraction form
    5,471.22/8,201.16 = 2,547.12/x
  3. Step 3: Cross multiply
    5,471.22x = 8,201.16 × 2,547.12
  4. Step 4: Simplify right side
    5,471.22x = 20,889,338.66
  5. Step 5: Solve for x
    x = 20,889,338.66/5,471.22
  6. Step 6: Final answer
    x = 3,818.04

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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.