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Finding the Fourth Proportional to 3,472, 4,791.42 and 1,900.12

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Solution

The fourth proportional to 3,472, 4,791.42 and 1,900.12 is: 2,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472 : 4,791.42 = 1,900.12 : x
  2. Step 2: Convert to fraction form
    3,472/4,791.42 = 1,900.12/x
  3. Step 3: Cross multiply
    3,472x = 4,791.42 × 1,900.12
  4. Step 4: Simplify right side
    3,472x = 9,104,272.97
  5. Step 5: Solve for x
    x = 9,104,272.97/3,472
  6. Step 6: Final answer
    x = 2,622.20

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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.