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Finding the Fourth Proportional to 5,660.44, 7,811.42 and 3,302.12

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Solution

The fourth proportional to 5,660.44, 7,811.42 and 3,302.12 is: 4,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.44 : 7,811.42 = 3,302.12 : x
  2. Step 2: Convert to fraction form
    5,660.44/7,811.42 = 3,302.12/x
  3. Step 3: Cross multiply
    5,660.44x = 7,811.42 × 3,302.12
  4. Step 4: Simplify right side
    5,660.44x = 25,794,249.23
  5. Step 5: Solve for x
    x = 25,794,249.23/5,660.44
  6. Step 6: Final answer
    x = 4,556.94

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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.