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Finding the Fourth Proportional to 3,782.33, 5,667.20 and 2,318.40

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Solution

The fourth proportional to 3,782.33, 5,667.20 and 2,318.40 is: 3,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.33 : 5,667.20 = 2,318.40 : x
  2. Step 2: Convert to fraction form
    3,782.33/5,667.20 = 2,318.40/x
  3. Step 3: Cross multiply
    3,782.33x = 5,667.20 × 2,318.40
  4. Step 4: Simplify right side
    3,782.33x = 13,138,824.89
  5. Step 5: Solve for x
    x = 13,138,824.89/3,782.33
  6. Step 6: Final answer
    x = 3,473.74

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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.