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Finding the Fourth Proportional to 3,738.40, 5,158.80 and 2,167

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Solution

The fourth proportional to 3,738.40, 5,158.80 and 2,167 is: 2,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.40 : 5,158.80 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,738.40/5,158.80 = 2,167/x
  3. Step 3: Cross multiply
    3,738.40x = 5,158.80 × 2,167
  4. Step 4: Simplify right side
    3,738.40x = 11,179,119.60
  5. Step 5: Solve for x
    x = 11,179,119.60/3,738.40
  6. Step 6: Final answer
    x = 2,990.35

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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.