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Finding the Fourth Proportional to 3,760, 5,188.80 and 2,288

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Solution

The fourth proportional to 3,760, 5,188.80 and 2,288 is: 3,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760 : 5,188.80 = 2,288 : x
  2. Step 2: Convert to fraction form
    3,760/5,188.80 = 2,288/x
  3. Step 3: Cross multiply
    3,760x = 5,188.80 × 2,288
  4. Step 4: Simplify right side
    3,760x = 11,871,974.40
  5. Step 5: Solve for x
    x = 11,871,974.40/3,760
  6. Step 6: Final answer
    x = 3,157.44

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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.