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Finding the Fourth Proportional to 5,872.20, 8,103.42 and 3,514.20

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Solution

The fourth proportional to 5,872.20, 8,103.42 and 3,514.20 is: 4,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.20 : 8,103.42 = 3,514.20 : x
  2. Step 2: Convert to fraction form
    5,872.20/8,103.42 = 3,514.20/x
  3. Step 3: Cross multiply
    5,872.20x = 8,103.42 × 3,514.20
  4. Step 4: Simplify right side
    5,872.20x = 28,477,038.56
  5. Step 5: Solve for x
    x = 28,477,038.56/5,872.20
  6. Step 6: Final answer
    x = 4,849.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.