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Finding the Fourth Proportional to 3,783.62, 5,217.12 and 2,664.20

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Solution

The fourth proportional to 3,783.62, 5,217.12 and 2,664.20 is: 3,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.62 : 5,217.12 = 2,664.20 : x
  2. Step 2: Convert to fraction form
    3,783.62/5,217.12 = 2,664.20/x
  3. Step 3: Cross multiply
    3,783.62x = 5,217.12 × 2,664.20
  4. Step 4: Simplify right side
    3,783.62x = 13,899,425.02
  5. Step 5: Solve for x
    x = 13,899,425.02/3,783.62
  6. Step 6: Final answer
    x = 3,673.58

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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.