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Finding the Fourth Proportional to 3,891.84, 5,370.75 and 2,123.47

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Solution

The fourth proportional to 3,891.84, 5,370.75 and 2,123.47 is: 2,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.84 : 5,370.75 = 2,123.47 : x
  2. Step 2: Convert to fraction form
    3,891.84/5,370.75 = 2,123.47/x
  3. Step 3: Cross multiply
    3,891.84x = 5,370.75 × 2,123.47
  4. Step 4: Simplify right side
    3,891.84x = 11,404,626.50
  5. Step 5: Solve for x
    x = 11,404,626.50/3,891.84
  6. Step 6: Final answer
    x = 2,930.39

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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.