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Finding the Fourth Proportional to 5,757.72, 8,591.67 and 5,137.16

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Solution

The fourth proportional to 5,757.72, 8,591.67 and 5,137.16 is: 7,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.72 : 8,591.67 = 5,137.16 : x
  2. Step 2: Convert to fraction form
    5,757.72/8,591.67 = 5,137.16/x
  3. Step 3: Cross multiply
    5,757.72x = 8,591.67 × 5,137.16
  4. Step 4: Simplify right side
    5,757.72x = 44,136,740.50
  5. Step 5: Solve for x
    x = 44,136,740.50/5,757.72
  6. Step 6: Final answer
    x = 7,665.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.