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Finding the Fourth Proportional to 4,002.64, 5,523.53 and 2,234.21

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Solution

The fourth proportional to 4,002.64, 5,523.53 and 2,234.21 is: 3,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.64 : 5,523.53 = 2,234.21 : x
  2. Step 2: Convert to fraction form
    4,002.64/5,523.53 = 2,234.21/x
  3. Step 3: Cross multiply
    4,002.64x = 5,523.53 × 2,234.21
  4. Step 4: Simplify right side
    4,002.64x = 12,340,687.17
  5. Step 5: Solve for x
    x = 12,340,687.17/4,002.64
  6. Step 6: Final answer
    x = 3,083.14

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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.