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Finding the Fourth Proportional to 3,224.40, 4,832.10 and 2,567.40

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Solution

The fourth proportional to 3,224.40, 4,832.10 and 2,567.40 is: 3,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.40 : 4,832.10 = 2,567.40 : x
  2. Step 2: Convert to fraction form
    3,224.40/4,832.10 = 2,567.40/x
  3. Step 3: Cross multiply
    3,224.40x = 4,832.10 × 2,567.40
  4. Step 4: Simplify right side
    3,224.40x = 12,405,933.54
  5. Step 5: Solve for x
    x = 12,405,933.54/3,224.40
  6. Step 6: Final answer
    x = 3,847.52

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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.