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Finding the Fourth Proportional to 5,376, 8,058.24 and 2,255.22

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Solution

The fourth proportional to 5,376, 8,058.24 and 2,255.22 is: 3,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,058.24 = 2,255.22 : x
  2. Step 2: Convert to fraction form
    5,376/8,058.24 = 2,255.22/x
  3. Step 3: Cross multiply
    5,376x = 8,058.24 × 2,255.22
  4. Step 4: Simplify right side
    5,376x = 18,173,104.01
  5. Step 5: Solve for x
    x = 18,173,104.01/5,376
  6. Step 6: Final answer
    x = 3,380.41

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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.