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Finding the Fourth Proportional to 5,530.92, 7,633.44 and 3,174

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Solution

The fourth proportional to 5,530.92, 7,633.44 and 3,174 is: 4,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.92 : 7,633.44 = 3,174 : x
  2. Step 2: Convert to fraction form
    5,530.92/7,633.44 = 3,174/x
  3. Step 3: Cross multiply
    5,530.92x = 7,633.44 × 3,174
  4. Step 4: Simplify right side
    5,530.92x = 24,228,538.56
  5. Step 5: Solve for x
    x = 24,228,538.56/5,530.92
  6. Step 6: Final answer
    x = 4,380.56

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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.