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Finding the Fourth Proportional to 3,494.33, 4,821.77 and 2,001.83

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Solution

The fourth proportional to 3,494.33, 4,821.77 and 2,001.83 is: 2,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.33 : 4,821.77 = 2,001.83 : x
  2. Step 2: Convert to fraction form
    3,494.33/4,821.77 = 2,001.83/x
  3. Step 3: Cross multiply
    3,494.33x = 4,821.77 × 2,001.83
  4. Step 4: Simplify right side
    3,494.33x = 9,652,329.72
  5. Step 5: Solve for x
    x = 9,652,329.72/3,494.33
  6. Step 6: Final answer
    x = 2,762.29

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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.