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Finding the Fourth Proportional to 5,696.70, 8,544.84 and 1,747.92

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Solution

The fourth proportional to 5,696.70, 8,544.84 and 1,747.92 is: 2,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.70 : 8,544.84 = 1,747.92 : x
  2. Step 2: Convert to fraction form
    5,696.70/8,544.84 = 1,747.92/x
  3. Step 3: Cross multiply
    5,696.70x = 8,544.84 × 1,747.92
  4. Step 4: Simplify right side
    5,696.70x = 14,935,696.73
  5. Step 5: Solve for x
    x = 14,935,696.73/5,696.70
  6. Step 6: Final answer
    x = 2,621.82

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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.