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Finding the Fourth Proportional to 4,001.88, 6,002.32 and 1,228.44

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Solution

The fourth proportional to 4,001.88, 6,002.32 and 1,228.44 is: 1,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.88 : 6,002.32 = 1,228.44 : x
  2. Step 2: Convert to fraction form
    4,001.88/6,002.32 = 1,228.44/x
  3. Step 3: Cross multiply
    4,001.88x = 6,002.32 × 1,228.44
  4. Step 4: Simplify right side
    4,001.88x = 7,373,489.98
  5. Step 5: Solve for x
    x = 7,373,489.98/4,001.88
  6. Step 6: Final answer
    x = 1,842.51

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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.