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Finding the Fourth Proportional to 5,763.52, 7,946.38 and 3,770.92

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Solution

The fourth proportional to 5,763.52, 7,946.38 and 3,770.92 is: 5,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.52 : 7,946.38 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    5,763.52/7,946.38 = 3,770.92/x
  3. Step 3: Cross multiply
    5,763.52x = 7,946.38 × 3,770.92
  4. Step 4: Simplify right side
    5,763.52x = 29,965,163.27
  5. Step 5: Solve for x
    x = 29,965,163.27/5,763.52
  6. Step 6: Final answer
    x = 5,199.11

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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.