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Finding the Fourth Proportional to 3,643.60, 5,028.64 and 2,226.98

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Solution

The fourth proportional to 3,643.60, 5,028.64 and 2,226.98 is: 3,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.60 : 5,028.64 = 2,226.98 : x
  2. Step 2: Convert to fraction form
    3,643.60/5,028.64 = 2,226.98/x
  3. Step 3: Cross multiply
    3,643.60x = 5,028.64 × 2,226.98
  4. Step 4: Simplify right side
    3,643.60x = 11,198,680.71
  5. Step 5: Solve for x
    x = 11,198,680.71/3,643.60
  6. Step 6: Final answer
    x = 3,073.52

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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.