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Finding the Fourth Proportional to 3,494.28, 4,821.73 and 2,002.26

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Solution

The fourth proportional to 3,494.28, 4,821.73 and 2,002.26 is: 2,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.28 : 4,821.73 = 2,002.26 : x
  2. Step 2: Convert to fraction form
    3,494.28/4,821.73 = 2,002.26/x
  3. Step 3: Cross multiply
    3,494.28x = 4,821.73 × 2,002.26
  4. Step 4: Simplify right side
    3,494.28x = 9,654,357.11
  5. Step 5: Solve for x
    x = 9,654,357.11/3,494.28
  6. Step 6: Final answer
    x = 2,762.90

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1.5x scale

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.