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Finding the Fourth Proportional to 4,987.38, 6,882.64 and 2,749.35

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Solution

The fourth proportional to 4,987.38, 6,882.64 and 2,749.35 is: 3,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.38 : 6,882.64 = 2,749.35 : x
  2. Step 2: Convert to fraction form
    4,987.38/6,882.64 = 2,749.35/x
  3. Step 3: Cross multiply
    4,987.38x = 6,882.64 × 2,749.35
  4. Step 4: Simplify right side
    4,987.38x = 18,922,766.51
  5. Step 5: Solve for x
    x = 18,922,766.51/4,987.38
  6. Step 6: Final answer
    x = 3,794.13

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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.