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Finding the Fourth Proportional to 3,643.52, 5,028.18 and 2,317.20

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Solution

The fourth proportional to 3,643.52, 5,028.18 and 2,317.20 is: 3,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.52 : 5,028.18 = 2,317.20 : x
  2. Step 2: Convert to fraction form
    3,643.52/5,028.18 = 2,317.20/x
  3. Step 3: Cross multiply
    3,643.52x = 5,028.18 × 2,317.20
  4. Step 4: Simplify right side
    3,643.52x = 11,651,273.56
  5. Step 5: Solve for x
    x = 11,651,273.56/3,643.52
  6. Step 6: Final answer
    x = 3,197.81

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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.