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Finding the Fourth Proportional to 3,513.28, 5,270.01 and 1,665.28

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Solution

The fourth proportional to 3,513.28, 5,270.01 and 1,665.28 is: 2,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.28 : 5,270.01 = 1,665.28 : x
  2. Step 2: Convert to fraction form
    3,513.28/5,270.01 = 1,665.28/x
  3. Step 3: Cross multiply
    3,513.28x = 5,270.01 × 1,665.28
  4. Step 4: Simplify right side
    3,513.28x = 8,776,042.25
  5. Step 5: Solve for x
    x = 8,776,042.25/3,513.28
  6. Step 6: Final answer
    x = 2,497.96

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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.