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Finding the Fourth Proportional to 4,221.66, 5,827.20 and 2,729.64

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Solution

The fourth proportional to 4,221.66, 5,827.20 and 2,729.64 is: 3,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.66 : 5,827.20 = 2,729.64 : x
  2. Step 2: Convert to fraction form
    4,221.66/5,827.20 = 2,729.64/x
  3. Step 3: Cross multiply
    4,221.66x = 5,827.20 × 2,729.64
  4. Step 4: Simplify right side
    4,221.66x = 15,906,158.21
  5. Step 5: Solve for x
    x = 15,906,158.21/4,221.66
  6. Step 6: Final answer
    x = 3,767.75

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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.