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Finding the Fourth Proportional to 3,627.68, 5,442.84 and 2,224.96

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Solution

The fourth proportional to 3,627.68, 5,442.84 and 2,224.96 is: 3,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.68 : 5,442.84 = 2,224.96 : x
  2. Step 2: Convert to fraction form
    3,627.68/5,442.84 = 2,224.96/x
  3. Step 3: Cross multiply
    3,627.68x = 5,442.84 × 2,224.96
  4. Step 4: Simplify right side
    3,627.68x = 12,110,101.29
  5. Step 5: Solve for x
    x = 12,110,101.29/3,627.68
  6. Step 6: Final answer
    x = 3,338.25

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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.