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Finding the Fourth Proportional to 5,633.57, 7,774.21 and 3,115.78

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Solution

The fourth proportional to 5,633.57, 7,774.21 and 3,115.78 is: 4,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.57 : 7,774.21 = 3,115.78 : x
  2. Step 2: Convert to fraction form
    5,633.57/7,774.21 = 3,115.78/x
  3. Step 3: Cross multiply
    5,633.57x = 7,774.21 × 3,115.78
  4. Step 4: Simplify right side
    5,633.57x = 24,222,728.03
  5. Step 5: Solve for x
    x = 24,222,728.03/5,633.57
  6. Step 6: Final answer
    x = 4,299.71

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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.