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Finding the Fourth Proportional to 3,758.28, 5,186.81 and 2,164.98

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Solution

The fourth proportional to 3,758.28, 5,186.81 and 2,164.98 is: 2,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.28 : 5,186.81 = 2,164.98 : x
  2. Step 2: Convert to fraction form
    3,758.28/5,186.81 = 2,164.98/x
  3. Step 3: Cross multiply
    3,758.28x = 5,186.81 × 2,164.98
  4. Step 4: Simplify right side
    3,758.28x = 11,229,339.91
  5. Step 5: Solve for x
    x = 11,229,339.91/3,758.28
  6. Step 6: Final answer
    x = 2,987.89

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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.