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Finding the Fourth Proportional to 3,869.17, 5,339.04 and 2,190.31

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Solution

The fourth proportional to 3,869.17, 5,339.04 and 2,190.31 is: 3,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.17 : 5,339.04 = 2,190.31 : x
  2. Step 2: Convert to fraction form
    3,869.17/5,339.04 = 2,190.31/x
  3. Step 3: Cross multiply
    3,869.17x = 5,339.04 × 2,190.31
  4. Step 4: Simplify right side
    3,869.17x = 11,694,152.70
  5. Step 5: Solve for x
    x = 11,694,152.70/3,869.17
  6. Step 6: Final answer
    x = 3,022.39

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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.