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Finding the Fourth Proportional to 4,196.50, 6,295.88 and 3,737.43

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Solution

The fourth proportional to 4,196.50, 6,295.88 and 3,737.43 is: 5,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.50 : 6,295.88 = 3,737.43 : x
  2. Step 2: Convert to fraction form
    4,196.50/6,295.88 = 3,737.43/x
  3. Step 3: Cross multiply
    4,196.50x = 6,295.88 × 3,737.43
  4. Step 4: Simplify right side
    4,196.50x = 23,530,410.79
  5. Step 5: Solve for x
    x = 23,530,410.79/4,196.50
  6. Step 6: Final answer
    x = 5,607.15

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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.