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Finding the Fourth Proportional to 3,744.23, 5,169.62 and 2,328.48

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Solution

The fourth proportional to 3,744.23, 5,169.62 and 2,328.48 is: 3,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.23 : 5,169.62 = 2,328.48 : x
  2. Step 2: Convert to fraction form
    3,744.23/5,169.62 = 2,328.48/x
  3. Step 3: Cross multiply
    3,744.23x = 5,169.62 × 2,328.48
  4. Step 4: Simplify right side
    3,744.23x = 12,037,362.60
  5. Step 5: Solve for x
    x = 12,037,362.60/3,744.23
  6. Step 6: Final answer
    x = 3,214.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.