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Finding the Fourth Proportional to 5,187.78, 7,781.54 and 2,266.11

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Solution

The fourth proportional to 5,187.78, 7,781.54 and 2,266.11 is: 3,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.78 : 7,781.54 = 2,266.11 : x
  2. Step 2: Convert to fraction form
    5,187.78/7,781.54 = 2,266.11/x
  3. Step 3: Cross multiply
    5,187.78x = 7,781.54 × 2,266.11
  4. Step 4: Simplify right side
    5,187.78x = 17,633,814.28
  5. Step 5: Solve for x
    x = 17,633,814.28/5,187.78
  6. Step 6: Final answer
    x = 3,399.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.