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Finding the Fourth Proportional to 3,758.86, 5,188.08 and 2,266.30

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Solution

The fourth proportional to 3,758.86, 5,188.08 and 2,266.30 is: 3,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.86 : 5,188.08 = 2,266.30 : x
  2. Step 2: Convert to fraction form
    3,758.86/5,188.08 = 2,266.30/x
  3. Step 3: Cross multiply
    3,758.86x = 5,188.08 × 2,266.30
  4. Step 4: Simplify right side
    3,758.86x = 11,757,745.70
  5. Step 5: Solve for x
    x = 11,757,745.70/3,758.86
  6. Step 6: Final answer
    x = 3,128.01

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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.