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Finding the Fourth Proportional to 5,665.50, 8,471.21 and 5,169.22

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Solution

The fourth proportional to 5,665.50, 8,471.21 and 5,169.22 is: 7,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.50 : 8,471.21 = 5,169.22 : x
  2. Step 2: Convert to fraction form
    5,665.50/8,471.21 = 5,169.22/x
  3. Step 3: Cross multiply
    5,665.50x = 8,471.21 × 5,169.22
  4. Step 4: Simplify right side
    5,665.50x = 43,789,501.13
  5. Step 5: Solve for x
    x = 43,789,501.13/5,665.50
  6. Step 6: Final answer
    x = 7,729.15

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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.