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Finding the Fourth Proportional to 5,167.35, 7,748.42 and 2,244.33

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Solution

The fourth proportional to 5,167.35, 7,748.42 and 2,244.33 is: 3,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.35 : 7,748.42 = 2,244.33 : x
  2. Step 2: Convert to fraction form
    5,167.35/7,748.42 = 2,244.33/x
  3. Step 3: Cross multiply
    5,167.35x = 7,748.42 × 2,244.33
  4. Step 4: Simplify right side
    5,167.35x = 17,390,000.24
  5. Step 5: Solve for x
    x = 17,390,000.24/5,167.35
  6. Step 6: Final answer
    x = 3,365.36

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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.