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Finding the Fourth Proportional to 5,871.76, 8,103.12 and 3,514

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Solution

The fourth proportional to 5,871.76, 8,103.12 and 3,514 is: 4,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.76 : 8,103.12 = 3,514 : x
  2. Step 2: Convert to fraction form
    5,871.76/8,103.12 = 3,514/x
  3. Step 3: Cross multiply
    5,871.76x = 8,103.12 × 3,514
  4. Step 4: Simplify right side
    5,871.76x = 28,474,363.68
  5. Step 5: Solve for x
    x = 28,474,363.68/5,871.76
  6. Step 6: Final answer
    x = 4,849.37

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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.