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Finding the Fourth Proportional to 3,828.42, 5,743.14 and 1,196.10

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Solution

The fourth proportional to 3,828.42, 5,743.14 and 1,196.10 is: 1,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.42 : 5,743.14 = 1,196.10 : x
  2. Step 2: Convert to fraction form
    3,828.42/5,743.14 = 1,196.10/x
  3. Step 3: Cross multiply
    3,828.42x = 5,743.14 × 1,196.10
  4. Step 4: Simplify right side
    3,828.42x = 6,869,369.75
  5. Step 5: Solve for x
    x = 6,869,369.75/3,828.42
  6. Step 6: Final answer
    x = 1,794.31

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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.