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Finding the Fourth Proportional to 4,514.52, 6,773.22 and 4,167

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Solution

The fourth proportional to 4,514.52, 6,773.22 and 4,167 is: 6,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.52 : 6,773.22 = 4,167 : x
  2. Step 2: Convert to fraction form
    4,514.52/6,773.22 = 4,167/x
  3. Step 3: Cross multiply
    4,514.52x = 6,773.22 × 4,167
  4. Step 4: Simplify right side
    4,514.52x = 28,224,007.74
  5. Step 5: Solve for x
    x = 28,224,007.74/4,514.52
  6. Step 6: Final answer
    x = 6,251.83

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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.