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Finding the Fourth Proportional to 4,156.38, 6,263.24 and 3,766.36

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Solution

The fourth proportional to 4,156.38, 6,263.24 and 3,766.36 is: 5,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.38 : 6,263.24 = 3,766.36 : x
  2. Step 2: Convert to fraction form
    4,156.38/6,263.24 = 3,766.36/x
  3. Step 3: Cross multiply
    4,156.38x = 6,263.24 × 3,766.36
  4. Step 4: Simplify right side
    4,156.38x = 23,589,616.61
  5. Step 5: Solve for x
    x = 23,589,616.61/4,156.38
  6. Step 6: Final answer
    x = 5,675.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.