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Finding the Fourth Proportional to 3,816.09, 5,725.11 and 1,219.04

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Solution

The fourth proportional to 3,816.09, 5,725.11 and 1,219.04 is: 1,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.09 : 5,725.11 = 1,219.04 : x
  2. Step 2: Convert to fraction form
    3,816.09/5,725.11 = 1,219.04/x
  3. Step 3: Cross multiply
    3,816.09x = 5,725.11 × 1,219.04
  4. Step 4: Simplify right side
    3,816.09x = 6,979,109.47
  5. Step 5: Solve for x
    x = 6,979,109.47/3,816.09
  6. Step 6: Final answer
    x = 1,828.86

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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.