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Finding the Fourth Proportional to 3,444, 5,167.08 and 1,496.49

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Solution

The fourth proportional to 3,444, 5,167.08 and 1,496.49 is: 2,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 5,167.08 = 1,496.49 : x
  2. Step 2: Convert to fraction form
    3,444/5,167.08 = 1,496.49/x
  3. Step 3: Cross multiply
    3,444x = 5,167.08 × 1,496.49
  4. Step 4: Simplify right side
    3,444x = 7,732,483.55
  5. Step 5: Solve for x
    x = 7,732,483.55/3,444
  6. Step 6: Final answer
    x = 2,245.20

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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.