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Finding the Fourth Proportional to 5,293.68, 7,942.96 and 2,696.80

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Solution

The fourth proportional to 5,293.68, 7,942.96 and 2,696.80 is: 4,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.68 : 7,942.96 = 2,696.80 : x
  2. Step 2: Convert to fraction form
    5,293.68/7,942.96 = 2,696.80/x
  3. Step 3: Cross multiply
    5,293.68x = 7,942.96 × 2,696.80
  4. Step 4: Simplify right side
    5,293.68x = 21,420,574.53
  5. Step 5: Solve for x
    x = 21,420,574.53/5,293.68
  6. Step 6: Final answer
    x = 4,046.44

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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.