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Finding the Fourth Proportional to 3,758.28, 5,186.40 and 2,186.40

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Solution

The fourth proportional to 3,758.28, 5,186.40 and 2,186.40 is: 3,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.28 : 5,186.40 = 2,186.40 : x
  2. Step 2: Convert to fraction form
    3,758.28/5,186.40 = 2,186.40/x
  3. Step 3: Cross multiply
    3,758.28x = 5,186.40 × 2,186.40
  4. Step 4: Simplify right side
    3,758.28x = 11,339,544.96
  5. Step 5: Solve for x
    x = 11,339,544.96/3,758.28
  6. Step 6: Final answer
    x = 3,017.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.