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Finding the Fourth Proportional to 3,882.49, 5,824.64 and 1,109.21

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Solution

The fourth proportional to 3,882.49, 5,824.64 and 1,109.21 is: 1,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.49 : 5,824.64 = 1,109.21 : x
  2. Step 2: Convert to fraction form
    3,882.49/5,824.64 = 1,109.21/x
  3. Step 3: Cross multiply
    3,882.49x = 5,824.64 × 1,109.21
  4. Step 4: Simplify right side
    3,882.49x = 6,460,722.58
  5. Step 5: Solve for x
    x = 6,460,722.58/3,882.49
  6. Step 6: Final answer
    x = 1,664.07

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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.