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Finding the Fourth Proportional to 3,494.25, 4,821.66 and 2,002.23

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Solution

The fourth proportional to 3,494.25, 4,821.66 and 2,002.23 is: 2,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.25 : 4,821.66 = 2,002.23 : x
  2. Step 2: Convert to fraction form
    3,494.25/4,821.66 = 2,002.23/x
  3. Step 3: Cross multiply
    3,494.25x = 4,821.66 × 2,002.23
  4. Step 4: Simplify right side
    3,494.25x = 9,654,072.30
  5. Step 5: Solve for x
    x = 9,654,072.30/3,494.25
  6. Step 6: Final answer
    x = 2,762.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.