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Finding the Fourth Proportional to 5,743.39, 8,616 and 2,456.50

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Solution

The fourth proportional to 5,743.39, 8,616 and 2,456.50 is: 3,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.39 : 8,616 = 2,456.50 : x
  2. Step 2: Convert to fraction form
    5,743.39/8,616 = 2,456.50/x
  3. Step 3: Cross multiply
    5,743.39x = 8,616 × 2,456.50
  4. Step 4: Simplify right side
    5,743.39x = 21,165,204
  5. Step 5: Solve for x
    x = 21,165,204/5,743.39
  6. Step 6: Final answer
    x = 3,685.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.