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Finding the Fourth Proportional to 5,685.36, 7,844.22 and 3,667.92

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Solution

The fourth proportional to 5,685.36, 7,844.22 and 3,667.92 is: 5,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.36 : 7,844.22 = 3,667.92 : x
  2. Step 2: Convert to fraction form
    5,685.36/7,844.22 = 3,667.92/x
  3. Step 3: Cross multiply
    5,685.36x = 7,844.22 × 3,667.92
  4. Step 4: Simplify right side
    5,685.36x = 28,771,971.42
  5. Step 5: Solve for x
    x = 28,771,971.42/5,685.36
  6. Step 6: Final answer
    x = 5,060.71

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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.