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Finding the Fourth Proportional to 4,156.88, 6,238.02 and 3,823.16

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Solution

The fourth proportional to 4,156.88, 6,238.02 and 3,823.16 is: 5,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.88 : 6,238.02 = 3,823.16 : x
  2. Step 2: Convert to fraction form
    4,156.88/6,238.02 = 3,823.16/x
  3. Step 3: Cross multiply
    4,156.88x = 6,238.02 × 3,823.16
  4. Step 4: Simplify right side
    4,156.88x = 23,848,948.54
  5. Step 5: Solve for x
    x = 23,848,948.54/4,156.88
  6. Step 6: Final answer
    x = 5,737.22

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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.