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Finding the Fourth Proportional to 3,758.45, 5,186.97 and 2,186.64

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Solution

The fourth proportional to 3,758.45, 5,186.97 and 2,186.64 is: 3,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.45 : 5,186.97 = 2,186.64 : x
  2. Step 2: Convert to fraction form
    3,758.45/5,186.97 = 2,186.64/x
  3. Step 3: Cross multiply
    3,758.45x = 5,186.97 × 2,186.64
  4. Step 4: Simplify right side
    3,758.45x = 11,342,036.08
  5. Step 5: Solve for x
    x = 11,342,036.08/3,758.45
  6. Step 6: Final answer
    x = 3,017.75

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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.