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Finding the Fourth Proportional to 4,987.57, 6,882.89 and 2,749.53

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Solution

The fourth proportional to 4,987.57, 6,882.89 and 2,749.53 is: 3,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.57 : 6,882.89 = 2,749.53 : x
  2. Step 2: Convert to fraction form
    4,987.57/6,882.89 = 2,749.53/x
  3. Step 3: Cross multiply
    4,987.57x = 6,882.89 × 2,749.53
  4. Step 4: Simplify right side
    4,987.57x = 18,924,712.54
  5. Step 5: Solve for x
    x = 18,924,712.54/4,987.57
  6. Step 6: Final answer
    x = 3,794.38

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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.