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Finding the Fourth Proportional to 4,229.76, 5,835.08 and 2,814.14

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Solution

The fourth proportional to 4,229.76, 5,835.08 and 2,814.14 is: 3,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.76 : 5,835.08 = 2,814.14 : x
  2. Step 2: Convert to fraction form
    4,229.76/5,835.08 = 2,814.14/x
  3. Step 3: Cross multiply
    4,229.76x = 5,835.08 × 2,814.14
  4. Step 4: Simplify right side
    4,229.76x = 16,420,710.41
  5. Step 5: Solve for x
    x = 16,420,710.41/4,229.76
  6. Step 6: Final answer
    x = 3,882.18

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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.