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Finding the Fourth Proportional to 6,001.88, 9,002.82 and 2,714.36

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Solution

The fourth proportional to 6,001.88, 9,002.82 and 2,714.36 is: 4,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.88 : 9,002.82 = 2,714.36 : x
  2. Step 2: Convert to fraction form
    6,001.88/9,002.82 = 2,714.36/x
  3. Step 3: Cross multiply
    6,001.88x = 9,002.82 × 2,714.36
  4. Step 4: Simplify right side
    6,001.88x = 24,436,894.50
  5. Step 5: Solve for x
    x = 24,436,894.50/6,001.88
  6. Step 6: Final answer
    x = 4,071.54

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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.