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Finding the Fourth Proportional to 3,643.64, 5,028.80 and 2,228.15

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Solution

The fourth proportional to 3,643.64, 5,028.80 and 2,228.15 is: 3,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.64 : 5,028.80 = 2,228.15 : x
  2. Step 2: Convert to fraction form
    3,643.64/5,028.80 = 2,228.15/x
  3. Step 3: Cross multiply
    3,643.64x = 5,028.80 × 2,228.15
  4. Step 4: Simplify right side
    3,643.64x = 11,204,920.72
  5. Step 5: Solve for x
    x = 11,204,920.72/3,643.64
  6. Step 6: Final answer
    x = 3,075.20

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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.