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Finding the Fourth Proportional to 5,412.24, 8,107.20 and 2,641.20

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Solution

The fourth proportional to 5,412.24, 8,107.20 and 2,641.20 is: 3,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.24 : 8,107.20 = 2,641.20 : x
  2. Step 2: Convert to fraction form
    5,412.24/8,107.20 = 2,641.20/x
  3. Step 3: Cross multiply
    5,412.24x = 8,107.20 × 2,641.20
  4. Step 4: Simplify right side
    5,412.24x = 21,412,736.64
  5. Step 5: Solve for x
    x = 21,412,736.64/5,412.24
  6. Step 6: Final answer
    x = 3,956.35

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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.