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Finding the Fourth Proportional to 3,494.43, 4,822.09 and 2,002.01

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Solution

The fourth proportional to 3,494.43, 4,822.09 and 2,002.01 is: 2,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.43 : 4,822.09 = 2,002.01 : x
  2. Step 2: Convert to fraction form
    3,494.43/4,822.09 = 2,002.01/x
  3. Step 3: Cross multiply
    3,494.43x = 4,822.09 × 2,002.01
  4. Step 4: Simplify right side
    3,494.43x = 9,653,843.29
  5. Step 5: Solve for x
    x = 9,653,843.29/3,494.43
  6. Step 6: Final answer
    x = 2,762.64

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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.