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Finding the Fourth Proportional to 6,187.78, 8,535.69 and 3,667.47

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Solution

The fourth proportional to 6,187.78, 8,535.69 and 3,667.47 is: 5,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.78 : 8,535.69 = 3,667.47 : x
  2. Step 2: Convert to fraction form
    6,187.78/8,535.69 = 3,667.47/x
  3. Step 3: Cross multiply
    6,187.78x = 8,535.69 × 3,667.47
  4. Step 4: Simplify right side
    6,187.78x = 31,304,344.33
  5. Step 5: Solve for x
    x = 31,304,344.33/6,187.78
  6. Step 6: Final answer
    x = 5,059.06

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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.