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Finding the Fourth Proportional to 4,514.85, 6,773.31 and 1,882.82

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Solution

The fourth proportional to 4,514.85, 6,773.31 and 1,882.82 is: 2,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.85 : 6,773.31 = 1,882.82 : x
  2. Step 2: Convert to fraction form
    4,514.85/6,773.31 = 1,882.82/x
  3. Step 3: Cross multiply
    4,514.85x = 6,773.31 × 1,882.82
  4. Step 4: Simplify right side
    4,514.85x = 12,752,889.67
  5. Step 5: Solve for x
    x = 12,752,889.67/4,514.85
  6. Step 6: Final answer
    x = 2,824.65

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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.