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Finding the Fourth Proportional to 3,493.16, 4,821.24 and 2,002.08

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Solution

The fourth proportional to 3,493.16, 4,821.24 and 2,002.08 is: 2,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.16 : 4,821.24 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    3,493.16/4,821.24 = 2,002.08/x
  3. Step 3: Cross multiply
    3,493.16x = 4,821.24 × 2,002.08
  4. Step 4: Simplify right side
    3,493.16x = 9,652,508.18
  5. Step 5: Solve for x
    x = 9,652,508.18/3,493.16
  6. Step 6: Final answer
    x = 2,763.26

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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.