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Finding the Fourth Proportional to 3,794.85, 5,235.84 and 2,222.64

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Solution

The fourth proportional to 3,794.85, 5,235.84 and 2,222.64 is: 3,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.85 : 5,235.84 = 2,222.64 : x
  2. Step 2: Convert to fraction form
    3,794.85/5,235.84 = 2,222.64/x
  3. Step 3: Cross multiply
    3,794.85x = 5,235.84 × 2,222.64
  4. Step 4: Simplify right side
    3,794.85x = 11,637,387.42
  5. Step 5: Solve for x
    x = 11,637,387.42/3,794.85
  6. Step 6: Final answer
    x = 3,066.63

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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.