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Finding the Fourth Proportional to 5,150.69, 7,092.27 and 4,675.70

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Solution

The fourth proportional to 5,150.69, 7,092.27 and 4,675.70 is: 6,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.69 : 7,092.27 = 4,675.70 : x
  2. Step 2: Convert to fraction form
    5,150.69/7,092.27 = 4,675.70/x
  3. Step 3: Cross multiply
    5,150.69x = 7,092.27 × 4,675.70
  4. Step 4: Simplify right side
    5,150.69x = 33,161,291.38
  5. Step 5: Solve for x
    x = 33,161,291.38/5,150.69
  6. Step 6: Final answer
    x = 6,438.23

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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.