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Finding the Fourth Proportional to 3,643.80, 5,028.28 and 2,229.84

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Solution

The fourth proportional to 3,643.80, 5,028.28 and 2,229.84 is: 3,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.80 : 5,028.28 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    3,643.80/5,028.28 = 2,229.84/x
  3. Step 3: Cross multiply
    3,643.80x = 5,028.28 × 2,229.84
  4. Step 4: Simplify right side
    3,643.80x = 11,212,259.88
  5. Step 5: Solve for x
    x = 11,212,259.88/3,643.80
  6. Step 6: Final answer
    x = 3,077.08

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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.