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Finding the Fourth Proportional to 3,770.75, 5,203.64 and 2,199.15

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Solution

The fourth proportional to 3,770.75, 5,203.64 and 2,199.15 is: 3,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.75 : 5,203.64 = 2,199.15 : x
  2. Step 2: Convert to fraction form
    3,770.75/5,203.64 = 2,199.15/x
  3. Step 3: Cross multiply
    3,770.75x = 5,203.64 × 2,199.15
  4. Step 4: Simplify right side
    3,770.75x = 11,443,584.91
  5. Step 5: Solve for x
    x = 11,443,584.91/3,770.75
  6. Step 6: Final answer
    x = 3,034.83

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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.