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Finding the Fourth Proportional to 3,505.54, 5,251.16 and 2,184.97

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Solution

The fourth proportional to 3,505.54, 5,251.16 and 2,184.97 is: 3,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.54 : 5,251.16 = 2,184.97 : x
  2. Step 2: Convert to fraction form
    3,505.54/5,251.16 = 2,184.97/x
  3. Step 3: Cross multiply
    3,505.54x = 5,251.16 × 2,184.97
  4. Step 4: Simplify right side
    3,505.54x = 11,473,616.14
  5. Step 5: Solve for x
    x = 11,473,616.14/3,505.54
  6. Step 6: Final answer
    x = 3,273.00

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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.