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Finding the Fourth Proportional to 3,514.34, 5,272.87 and 1,565.21

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Solution

The fourth proportional to 3,514.34, 5,272.87 and 1,565.21 is: 2,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.34 : 5,272.87 = 1,565.21 : x
  2. Step 2: Convert to fraction form
    3,514.34/5,272.87 = 1,565.21/x
  3. Step 3: Cross multiply
    3,514.34x = 5,272.87 × 1,565.21
  4. Step 4: Simplify right side
    3,514.34x = 8,253,148.85
  5. Step 5: Solve for x
    x = 8,253,148.85/3,514.34
  6. Step 6: Final answer
    x = 2,348.42

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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.