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Finding the Fourth Proportional to 3,471.38, 4,788.72 and 2,351.94

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Solution

The fourth proportional to 3,471.38, 4,788.72 and 2,351.94 is: 3,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.38 : 4,788.72 = 2,351.94 : x
  2. Step 2: Convert to fraction form
    3,471.38/4,788.72 = 2,351.94/x
  3. Step 3: Cross multiply
    3,471.38x = 4,788.72 × 2,351.94
  4. Step 4: Simplify right side
    3,471.38x = 11,262,782.12
  5. Step 5: Solve for x
    x = 11,262,782.12/3,471.38
  6. Step 6: Final answer
    x = 3,244.47

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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.