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Finding the Fourth Proportional to 3,785.42, 5,223.84 and 2,213.21

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Solution

The fourth proportional to 3,785.42, 5,223.84 and 2,213.21 is: 3,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.42 : 5,223.84 = 2,213.21 : x
  2. Step 2: Convert to fraction form
    3,785.42/5,223.84 = 2,213.21/x
  3. Step 3: Cross multiply
    3,785.42x = 5,223.84 × 2,213.21
  4. Step 4: Simplify right side
    3,785.42x = 11,561,454.93
  5. Step 5: Solve for x
    x = 11,561,454.93/3,785.42
  6. Step 6: Final answer
    x = 3,054.21

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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.