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Finding the Fourth Proportional to 3,793.14, 5,235.30 and 2,221.74

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Solution

The fourth proportional to 3,793.14, 5,235.30 and 2,221.74 is: 3,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.14 : 5,235.30 = 2,221.74 : x
  2. Step 2: Convert to fraction form
    3,793.14/5,235.30 = 2,221.74/x
  3. Step 3: Cross multiply
    3,793.14x = 5,235.30 × 2,221.74
  4. Step 4: Simplify right side
    3,793.14x = 11,631,475.42
  5. Step 5: Solve for x
    x = 11,631,475.42/3,793.14
  6. Step 6: Final answer
    x = 3,066.45

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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.