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Finding the Fourth Proportional to 5,614, 8,424.28 and 2,536

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Solution

The fourth proportional to 5,614, 8,424.28 and 2,536 is: 3,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 8,424.28 = 2,536 : x
  2. Step 2: Convert to fraction form
    5,614/8,424.28 = 2,536/x
  3. Step 3: Cross multiply
    5,614x = 8,424.28 × 2,536
  4. Step 4: Simplify right side
    5,614x = 21,363,974.08
  5. Step 5: Solve for x
    x = 21,363,974.08/5,614
  6. Step 6: Final answer
    x = 3,805.48

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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.