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Finding the Fourth Proportional to 5,706.99, 8,544.29 and 3,734.91

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Solution

The fourth proportional to 5,706.99, 8,544.29 and 3,734.91 is: 5,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.99 : 8,544.29 = 3,734.91 : x
  2. Step 2: Convert to fraction form
    5,706.99/8,544.29 = 3,734.91/x
  3. Step 3: Cross multiply
    5,706.99x = 8,544.29 × 3,734.91
  4. Step 4: Simplify right side
    5,706.99x = 31,912,135.49
  5. Step 5: Solve for x
    x = 31,912,135.49/5,706.99
  6. Step 6: Final answer
    x = 5,591.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.