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Finding the Fourth Proportional to 4,002.35, 5,523.35 and 2,234.30

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Solution

The fourth proportional to 4,002.35, 5,523.35 and 2,234.30 is: 3,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.35 : 5,523.35 = 2,234.30 : x
  2. Step 2: Convert to fraction form
    4,002.35/5,523.35 = 2,234.30/x
  3. Step 3: Cross multiply
    4,002.35x = 5,523.35 × 2,234.30
  4. Step 4: Simplify right side
    4,002.35x = 12,340,820.91
  5. Step 5: Solve for x
    x = 12,340,820.91/4,002.35
  6. Step 6: Final answer
    x = 3,083.39

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Why These Related Problems?

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