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Finding the Fourth Proportional to 3,854.75, 5,782.31 and 1,514.54

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Solution

The fourth proportional to 3,854.75, 5,782.31 and 1,514.54 is: 2,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.75 : 5,782.31 = 1,514.54 : x
  2. Step 2: Convert to fraction form
    3,854.75/5,782.31 = 1,514.54/x
  3. Step 3: Cross multiply
    3,854.75x = 5,782.31 × 1,514.54
  4. Step 4: Simplify right side
    3,854.75x = 8,757,503.30
  5. Step 5: Solve for x
    x = 8,757,503.30/3,854.75
  6. Step 6: Final answer
    x = 2,271.88

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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.