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Finding the Fourth Proportional to 5,641.14, 8,463.44 and 2,523.77

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Solution

The fourth proportional to 5,641.14, 8,463.44 and 2,523.77 is: 3,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.14 : 8,463.44 = 2,523.77 : x
  2. Step 2: Convert to fraction form
    5,641.14/8,463.44 = 2,523.77/x
  3. Step 3: Cross multiply
    5,641.14x = 8,463.44 × 2,523.77
  4. Step 4: Simplify right side
    5,641.14x = 21,359,775.97
  5. Step 5: Solve for x
    x = 21,359,775.97/5,641.14
  6. Step 6: Final answer
    x = 3,786.43

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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.