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Finding the Fourth Proportional to 3,494.97, 4,823.03 and 2,002.86

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Solution

The fourth proportional to 3,494.97, 4,823.03 and 2,002.86 is: 2,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.97 : 4,823.03 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    3,494.97/4,823.03 = 2,002.86/x
  3. Step 3: Cross multiply
    3,494.97x = 4,823.03 × 2,002.86
  4. Step 4: Simplify right side
    3,494.97x = 9,659,858.87
  5. Step 5: Solve for x
    x = 9,659,858.87/3,494.97
  6. Step 6: Final answer
    x = 2,763.93

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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.