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Finding the Fourth Proportional to 3,601.57, 5,398.44 and 1,844.16

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Solution

The fourth proportional to 3,601.57, 5,398.44 and 1,844.16 is: 2,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.57 : 5,398.44 = 1,844.16 : x
  2. Step 2: Convert to fraction form
    3,601.57/5,398.44 = 1,844.16/x
  3. Step 3: Cross multiply
    3,601.57x = 5,398.44 × 1,844.16
  4. Step 4: Simplify right side
    3,601.57x = 9,955,560.12
  5. Step 5: Solve for x
    x = 9,955,560.12/3,601.57
  6. Step 6: Final answer
    x = 2,764.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.