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Finding the Fourth Proportional to 5,471.70, 8,208.16 and 2,008.96

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Solution

The fourth proportional to 5,471.70, 8,208.16 and 2,008.96 is: 3,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.70 : 8,208.16 = 2,008.96 : x
  2. Step 2: Convert to fraction form
    5,471.70/8,208.16 = 2,008.96/x
  3. Step 3: Cross multiply
    5,471.70x = 8,208.16 × 2,008.96
  4. Step 4: Simplify right side
    5,471.70x = 16,489,865.11
  5. Step 5: Solve for x
    x = 16,489,865.11/5,471.70
  6. Step 6: Final answer
    x = 3,013.66

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Why These Related Problems?

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