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Finding the Fourth Proportional to 4,201.04, 5,797.36 and 2,338

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Solution

The fourth proportional to 4,201.04, 5,797.36 and 2,338 is: 3,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.04 : 5,797.36 = 2,338 : x
  2. Step 2: Convert to fraction form
    4,201.04/5,797.36 = 2,338/x
  3. Step 3: Cross multiply
    4,201.04x = 5,797.36 × 2,338
  4. Step 4: Simplify right side
    4,201.04x = 13,554,227.68
  5. Step 5: Solve for x
    x = 13,554,227.68/4,201.04
  6. Step 6: Final answer
    x = 3,226.40

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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.