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Finding the Fourth Proportional to 3,513.36, 5,266.78 and 1,665.34

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Solution

The fourth proportional to 3,513.36, 5,266.78 and 1,665.34 is: 2,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.36 : 5,266.78 = 1,665.34 : x
  2. Step 2: Convert to fraction form
    3,513.36/5,266.78 = 1,665.34/x
  3. Step 3: Cross multiply
    3,513.36x = 5,266.78 × 1,665.34
  4. Step 4: Simplify right side
    3,513.36x = 8,770,979.41
  5. Step 5: Solve for x
    x = 8,770,979.41/3,513.36
  6. Step 6: Final answer
    x = 2,496.46

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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.