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Finding the Fourth Proportional to 3,581.44, 4,941.84 and 2,009.20

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Solution

The fourth proportional to 3,581.44, 4,941.84 and 2,009.20 is: 2,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.44 : 4,941.84 = 2,009.20 : x
  2. Step 2: Convert to fraction form
    3,581.44/4,941.84 = 2,009.20/x
  3. Step 3: Cross multiply
    3,581.44x = 4,941.84 × 2,009.20
  4. Step 4: Simplify right side
    3,581.44x = 9,929,144.93
  5. Step 5: Solve for x
    x = 9,929,144.93/3,581.44
  6. Step 6: Final answer
    x = 2,772.39

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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.