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Finding the Fourth Proportional to 4,236.02, 6,353 and 2,013.86

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Solution

The fourth proportional to 4,236.02, 6,353 and 2,013.86 is: 3,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.02 : 6,353 = 2,013.86 : x
  2. Step 2: Convert to fraction form
    4,236.02/6,353 = 2,013.86/x
  3. Step 3: Cross multiply
    4,236.02x = 6,353 × 2,013.86
  4. Step 4: Simplify right side
    4,236.02x = 12,794,052.58
  5. Step 5: Solve for x
    x = 12,794,052.58/4,236.02
  6. Step 6: Final answer
    x = 3,020.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.