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Finding the Fourth Proportional to 5,871.69, 8,103.24 and 3,514.59

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Solution

The fourth proportional to 5,871.69, 8,103.24 and 3,514.59 is: 4,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.69 : 8,103.24 = 3,514.59 : x
  2. Step 2: Convert to fraction form
    5,871.69/8,103.24 = 3,514.59/x
  3. Step 3: Cross multiply
    5,871.69x = 8,103.24 × 3,514.59
  4. Step 4: Simplify right side
    5,871.69x = 28,479,566.27
  5. Step 5: Solve for x
    x = 28,479,566.27/5,871.69
  6. Step 6: Final answer
    x = 4,850.32

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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.