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Finding the Fourth Proportional to 5,166.48, 7,127.42 and 3,069.38

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Solution

The fourth proportional to 5,166.48, 7,127.42 and 3,069.38 is: 4,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.48 : 7,127.42 = 3,069.38 : x
  2. Step 2: Convert to fraction form
    5,166.48/7,127.42 = 3,069.38/x
  3. Step 3: Cross multiply
    5,166.48x = 7,127.42 × 3,069.38
  4. Step 4: Simplify right side
    5,166.48x = 21,876,760.40
  5. Step 5: Solve for x
    x = 21,876,760.40/5,166.48
  6. Step 6: Final answer
    x = 4,234.36

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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.