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Finding the Fourth Proportional to 3,891.71, 5,370.71 and 2,123.39

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Solution

The fourth proportional to 3,891.71, 5,370.71 and 2,123.39 is: 2,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.71 : 5,370.71 = 2,123.39 : x
  2. Step 2: Convert to fraction form
    3,891.71/5,370.71 = 2,123.39/x
  3. Step 3: Cross multiply
    3,891.71x = 5,370.71 × 2,123.39
  4. Step 4: Simplify right side
    3,891.71x = 11,404,074.44
  5. Step 5: Solve for x
    x = 11,404,074.44/3,891.71
  6. Step 6: Final answer
    x = 2,930.35

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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.