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Finding the Fourth Proportional to 5,682.84, 7,838.28 and 3,793.47

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Solution

The fourth proportional to 5,682.84, 7,838.28 and 3,793.47 is: 5,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.84 : 7,838.28 = 3,793.47 : x
  2. Step 2: Convert to fraction form
    5,682.84/7,838.28 = 3,793.47/x
  3. Step 3: Cross multiply
    5,682.84x = 7,838.28 × 3,793.47
  4. Step 4: Simplify right side
    5,682.84x = 29,734,280.03
  5. Step 5: Solve for x
    x = 29,734,280.03/5,682.84
  6. Step 6: Final answer
    x = 5,232.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.