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Finding the Fourth Proportional to 5,633.92, 7,774.14 and 3,115.84

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Solution

The fourth proportional to 5,633.92, 7,774.14 and 3,115.84 is: 4,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.92 : 7,774.14 = 3,115.84 : x
  2. Step 2: Convert to fraction form
    5,633.92/7,774.14 = 3,115.84/x
  3. Step 3: Cross multiply
    5,633.92x = 7,774.14 × 3,115.84
  4. Step 4: Simplify right side
    5,633.92x = 24,222,976.38
  5. Step 5: Solve for x
    x = 24,222,976.38/5,633.92
  6. Step 6: Final answer
    x = 4,299.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.