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Finding the Fourth Proportional to 3,849.04, 5,775.08 and 2,001.31

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Solution

The fourth proportional to 3,849.04, 5,775.08 and 2,001.31 is: 3,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.04 : 5,775.08 = 2,001.31 : x
  2. Step 2: Convert to fraction form
    3,849.04/5,775.08 = 2,001.31/x
  3. Step 3: Cross multiply
    3,849.04x = 5,775.08 × 2,001.31
  4. Step 4: Simplify right side
    3,849.04x = 11,557,725.35
  5. Step 5: Solve for x
    x = 11,557,725.35/3,849.04
  6. Step 6: Final answer
    x = 3,002.76

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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.