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Finding the Fourth Proportional to 3,770.61, 5,200.14 and 2,443.02

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Solution

The fourth proportional to 3,770.61, 5,200.14 and 2,443.02 is: 3,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.61 : 5,200.14 = 2,443.02 : x
  2. Step 2: Convert to fraction form
    3,770.61/5,200.14 = 2,443.02/x
  3. Step 3: Cross multiply
    3,770.61x = 5,200.14 × 2,443.02
  4. Step 4: Simplify right side
    3,770.61x = 12,704,046.02
  5. Step 5: Solve for x
    x = 12,704,046.02/3,770.61
  6. Step 6: Final answer
    x = 3,369.23

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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.