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Finding the Fourth Proportional to 3,853.24, 5,770.02 and 3,074.38

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Solution

The fourth proportional to 3,853.24, 5,770.02 and 3,074.38 is: 4,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.24 : 5,770.02 = 3,074.38 : x
  2. Step 2: Convert to fraction form
    3,853.24/5,770.02 = 3,074.38/x
  3. Step 3: Cross multiply
    3,853.24x = 5,770.02 × 3,074.38
  4. Step 4: Simplify right side
    3,853.24x = 17,739,234.09
  5. Step 5: Solve for x
    x = 17,739,234.09/3,853.24
  6. Step 6: Final answer
    x = 4,603.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.