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Finding the Fourth Proportional to 3,771.64, 5,204.76 and 2,199.63

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Solution

The fourth proportional to 3,771.64, 5,204.76 and 2,199.63 is: 3,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.64 : 5,204.76 = 2,199.63 : x
  2. Step 2: Convert to fraction form
    3,771.64/5,204.76 = 2,199.63/x
  3. Step 3: Cross multiply
    3,771.64x = 5,204.76 × 2,199.63
  4. Step 4: Simplify right side
    3,771.64x = 11,448,546.24
  5. Step 5: Solve for x
    x = 11,448,546.24/3,771.64
  6. Step 6: Final answer
    x = 3,035.43

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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.