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Finding the Fourth Proportional to 4,105.74, 5,666.74 and 2,686.97

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Solution

The fourth proportional to 4,105.74, 5,666.74 and 2,686.97 is: 3,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.74 : 5,666.74 = 2,686.97 : x
  2. Step 2: Convert to fraction form
    4,105.74/5,666.74 = 2,686.97/x
  3. Step 3: Cross multiply
    4,105.74x = 5,666.74 × 2,686.97
  4. Step 4: Simplify right side
    4,105.74x = 15,226,382.94
  5. Step 5: Solve for x
    x = 15,226,382.94/4,105.74
  6. Step 6: Final answer
    x = 3,708.56

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