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Finding the Fourth Proportional to 3,805.38, 5,708.07 and 2,575.19

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Solution

The fourth proportional to 3,805.38, 5,708.07 and 2,575.19 is: 3,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.38 : 5,708.07 = 2,575.19 : x
  2. Step 2: Convert to fraction form
    3,805.38/5,708.07 = 2,575.19/x
  3. Step 3: Cross multiply
    3,805.38x = 5,708.07 × 2,575.19
  4. Step 4: Simplify right side
    3,805.38x = 14,699,379.05
  5. Step 5: Solve for x
    x = 14,699,379.05/3,805.38
  6. Step 6: Final answer
    x = 3,862.79

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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.