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Finding the Fourth Proportional to 3,789.09, 5,682.03 and 2,232.23

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Solution

The fourth proportional to 3,789.09, 5,682.03 and 2,232.23 is: 3,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.09 : 5,682.03 = 2,232.23 : x
  2. Step 2: Convert to fraction form
    3,789.09/5,682.03 = 2,232.23/x
  3. Step 3: Cross multiply
    3,789.09x = 5,682.03 × 2,232.23
  4. Step 4: Simplify right side
    3,789.09x = 12,683,569.42
  5. Step 5: Solve for x
    x = 12,683,569.42/3,789.09
  6. Step 6: Final answer
    x = 3,347.39

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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.