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Finding the Fourth Proportional to 3,882.09, 5,823.34 and 1,108.54

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Solution

The fourth proportional to 3,882.09, 5,823.34 and 1,108.54 is: 1,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.09 : 5,823.34 = 1,108.54 : x
  2. Step 2: Convert to fraction form
    3,882.09/5,823.34 = 1,108.54/x
  3. Step 3: Cross multiply
    3,882.09x = 5,823.34 × 1,108.54
  4. Step 4: Simplify right side
    3,882.09x = 6,455,405.32
  5. Step 5: Solve for x
    x = 6,455,405.32/3,882.09
  6. Step 6: Final answer
    x = 1,662.87

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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.