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Finding the Fourth Proportional to 5,471.66, 8,211.10 and 3,008.20

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Solution

The fourth proportional to 5,471.66, 8,211.10 and 3,008.20 is: 4,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.66 : 8,211.10 = 3,008.20 : x
  2. Step 2: Convert to fraction form
    5,471.66/8,211.10 = 3,008.20/x
  3. Step 3: Cross multiply
    5,471.66x = 8,211.10 × 3,008.20
  4. Step 4: Simplify right side
    5,471.66x = 24,700,631.02
  5. Step 5: Solve for x
    x = 24,700,631.02/5,471.66
  6. Step 6: Final answer
    x = 4,514.28

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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.