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Finding the Fourth Proportional to 5,732.48, 7,900.11 and 4,471.55

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Solution

The fourth proportional to 5,732.48, 7,900.11 and 4,471.55 is: 6,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.48 : 7,900.11 = 4,471.55 : x
  2. Step 2: Convert to fraction form
    5,732.48/7,900.11 = 4,471.55/x
  3. Step 3: Cross multiply
    5,732.48x = 7,900.11 × 4,471.55
  4. Step 4: Simplify right side
    5,732.48x = 35,325,736.87
  5. Step 5: Solve for x
    x = 35,325,736.87/5,732.48
  6. Step 6: Final answer
    x = 6,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.