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Finding the Fourth Proportional to 3,471.87, 4,791.25 and 1,900.00

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Solution

The fourth proportional to 3,471.87, 4,791.25 and 1,900.00 is: 2,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.87 : 4,791.25 = 1,900.00 : x
  2. Step 2: Convert to fraction form
    3,471.87/4,791.25 = 1,900.00/x
  3. Step 3: Cross multiply
    3,471.87x = 4,791.25 × 1,900.00
  4. Step 4: Simplify right side
    3,471.87x = 9,103,358.27
  5. Step 5: Solve for x
    x = 9,103,358.27/3,471.87
  6. Step 6: Final answer
    x = 2,622.03

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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.