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Finding the Fourth Proportional to 5,127.69, 7,693.41 and 2,166.87

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Solution

The fourth proportional to 5,127.69, 7,693.41 and 2,166.87 is: 3,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.69 : 7,693.41 = 2,166.87 : x
  2. Step 2: Convert to fraction form
    5,127.69/7,693.41 = 2,166.87/x
  3. Step 3: Cross multiply
    5,127.69x = 7,693.41 × 2,166.87
  4. Step 4: Simplify right side
    5,127.69x = 16,670,619.33
  5. Step 5: Solve for x
    x = 16,670,619.33/5,127.69
  6. Step 6: Final answer
    x = 3,251.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.