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Finding the Fourth Proportional to 5,497, 7,586 and 3,013

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Solution

The fourth proportional to 5,497, 7,586 and 3,013 is: 4,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 7,586 = 3,013 : x
  2. Step 2: Convert to fraction form
    5,497/7,586 = 3,013/x
  3. Step 3: Cross multiply
    5,497x = 7,586 × 3,013
  4. Step 4: Simplify right side
    5,497x = 22,856,618
  5. Step 5: Solve for x
    x = 22,856,618/5,497
  6. Step 6: Final answer
    x = 4,158.02

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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.