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Finding the Fourth Proportional to 5,199.69, 7,787.34 and 4,512

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Solution

The fourth proportional to 5,199.69, 7,787.34 and 4,512 is: 6,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.69 : 7,787.34 = 4,512 : x
  2. Step 2: Convert to fraction form
    5,199.69/7,787.34 = 4,512/x
  3. Step 3: Cross multiply
    5,199.69x = 7,787.34 × 4,512
  4. Step 4: Simplify right side
    5,199.69x = 35,136,478.08
  5. Step 5: Solve for x
    x = 35,136,478.08/5,199.69
  6. Step 6: Final answer
    x = 6,757.42

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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.