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Finding the Fourth Proportional to 3,781.64, 5,665.08 and 2,133.20

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Solution

The fourth proportional to 3,781.64, 5,665.08 and 2,133.20 is: 3,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.64 : 5,665.08 = 2,133.20 : x
  2. Step 2: Convert to fraction form
    3,781.64/5,665.08 = 2,133.20/x
  3. Step 3: Cross multiply
    3,781.64x = 5,665.08 × 2,133.20
  4. Step 4: Simplify right side
    3,781.64x = 12,084,748.66
  5. Step 5: Solve for x
    x = 12,084,748.66/3,781.64
  6. Step 6: Final answer
    x = 3,195.64

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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.