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Finding the Fourth Proportional to 5,797.27, 8,696.51 and 1,902.38

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Solution

The fourth proportional to 5,797.27, 8,696.51 and 1,902.38 is: 2,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.27 : 8,696.51 = 1,902.38 : x
  2. Step 2: Convert to fraction form
    5,797.27/8,696.51 = 1,902.38/x
  3. Step 3: Cross multiply
    5,797.27x = 8,696.51 × 1,902.38
  4. Step 4: Simplify right side
    5,797.27x = 16,544,057.18
  5. Step 5: Solve for x
    x = 16,544,057.18/5,797.27
  6. Step 6: Final answer
    x = 2,853.77

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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.