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Finding the Fourth Proportional to 3,659.68, 5,493.17 and 2,017.00

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Solution

The fourth proportional to 3,659.68, 5,493.17 and 2,017.00 is: 3,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.68 : 5,493.17 = 2,017.00 : x
  2. Step 2: Convert to fraction form
    3,659.68/5,493.17 = 2,017.00/x
  3. Step 3: Cross multiply
    3,659.68x = 5,493.17 × 2,017.00
  4. Step 4: Simplify right side
    3,659.68x = 11,079,724.45
  5. Step 5: Solve for x
    x = 11,079,724.45/3,659.68
  6. Step 6: Final answer
    x = 3,027.51

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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.