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Finding the Fourth Proportional to 3,494.18, 4,821.89 and 2,002.97

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Solution

The fourth proportional to 3,494.18, 4,821.89 and 2,002.97 is: 2,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.18 : 4,821.89 = 2,002.97 : x
  2. Step 2: Convert to fraction form
    3,494.18/4,821.89 = 2,002.97/x
  3. Step 3: Cross multiply
    3,494.18x = 4,821.89 × 2,002.97
  4. Step 4: Simplify right side
    3,494.18x = 9,658,091.00
  5. Step 5: Solve for x
    x = 9,658,091.00/3,494.18
  6. Step 6: Final answer
    x = 2,764.05

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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.