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Finding the Fourth Proportional to 3,957.08, 5,930.15 and 3,838.82

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Solution

The fourth proportional to 3,957.08, 5,930.15 and 3,838.82 is: 5,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.08 : 5,930.15 = 3,838.82 : x
  2. Step 2: Convert to fraction form
    3,957.08/5,930.15 = 3,838.82/x
  3. Step 3: Cross multiply
    3,957.08x = 5,930.15 × 3,838.82
  4. Step 4: Simplify right side
    3,957.08x = 22,764,729.58
  5. Step 5: Solve for x
    x = 22,764,729.58/3,957.08
  6. Step 6: Final answer
    x = 5,752.92

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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.