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Finding the Fourth Proportional to 3,996.74, 5,516.22 and 2,505.95

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Solution

The fourth proportional to 3,996.74, 5,516.22 and 2,505.95 is: 3,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.74 : 5,516.22 = 2,505.95 : x
  2. Step 2: Convert to fraction form
    3,996.74/5,516.22 = 2,505.95/x
  3. Step 3: Cross multiply
    3,996.74x = 5,516.22 × 2,505.95
  4. Step 4: Simplify right side
    3,996.74x = 13,823,371.51
  5. Step 5: Solve for x
    x = 13,823,371.51/3,996.74
  6. Step 6: Final answer
    x = 3,458.66

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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.