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Finding the Fourth Proportional to 4,156.38, 6,237.27 and 3,822.66

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Solution

The fourth proportional to 4,156.38, 6,237.27 and 3,822.66 is: 5,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.38 : 6,237.27 = 3,822.66 : x
  2. Step 2: Convert to fraction form
    4,156.38/6,237.27 = 3,822.66/x
  3. Step 3: Cross multiply
    4,156.38x = 6,237.27 × 3,822.66
  4. Step 4: Simplify right side
    4,156.38x = 23,842,962.54
  5. Step 5: Solve for x
    x = 23,842,962.54/4,156.38
  6. Step 6: Final answer
    x = 5,736.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.