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Finding the Fourth Proportional to 5,156.20, 7,737.10 and 2,194.16

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Solution

The fourth proportional to 5,156.20, 7,737.10 and 2,194.16 is: 3,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.20 : 7,737.10 = 2,194.16 : x
  2. Step 2: Convert to fraction form
    5,156.20/7,737.10 = 2,194.16/x
  3. Step 3: Cross multiply
    5,156.20x = 7,737.10 × 2,194.16
  4. Step 4: Simplify right side
    5,156.20x = 16,976,435.34
  5. Step 5: Solve for x
    x = 16,976,435.34/5,156.20
  6. Step 6: Final answer
    x = 3,292.43

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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.