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Finding the Fourth Proportional to 5,706.54, 8,546.33 and 3,944.99

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Solution

The fourth proportional to 5,706.54, 8,546.33 and 3,944.99 is: 5,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.54 : 8,546.33 = 3,944.99 : x
  2. Step 2: Convert to fraction form
    5,706.54/8,546.33 = 3,944.99/x
  3. Step 3: Cross multiply
    5,706.54x = 8,546.33 × 3,944.99
  4. Step 4: Simplify right side
    5,706.54x = 33,715,123.93
  5. Step 5: Solve for x
    x = 33,715,123.93/5,706.54
  6. Step 6: Final answer
    x = 5,908.16

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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.