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Finding the Fourth Proportional to 3,789.24, 5,683.89 and 1,323.42

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Solution

The fourth proportional to 3,789.24, 5,683.89 and 1,323.42 is: 1,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.24 : 5,683.89 = 1,323.42 : x
  2. Step 2: Convert to fraction form
    3,789.24/5,683.89 = 1,323.42/x
  3. Step 3: Cross multiply
    3,789.24x = 5,683.89 × 1,323.42
  4. Step 4: Simplify right side
    3,789.24x = 7,522,173.70
  5. Step 5: Solve for x
    x = 7,522,173.70/3,789.24
  6. Step 6: Final answer
    x = 1,985.14

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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.