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Finding the Fourth Proportional to 4,471.38, 6,703.54 and 2,824.45

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Solution

The fourth proportional to 4,471.38, 6,703.54 and 2,824.45 is: 4,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.38 : 6,703.54 = 2,824.45 : x
  2. Step 2: Convert to fraction form
    4,471.38/6,703.54 = 2,824.45/x
  3. Step 3: Cross multiply
    4,471.38x = 6,703.54 × 2,824.45
  4. Step 4: Simplify right side
    4,471.38x = 18,933,843.33
  5. Step 5: Solve for x
    x = 18,933,843.33/4,471.38
  6. Step 6: Final answer
    x = 4,234.45

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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.