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Finding the Fourth Proportional to 4,099.50, 6,177.18 and 3,651.94

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Solution

The fourth proportional to 4,099.50, 6,177.18 and 3,651.94 is: 5,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.50 : 6,177.18 = 3,651.94 : x
  2. Step 2: Convert to fraction form
    4,099.50/6,177.18 = 3,651.94/x
  3. Step 3: Cross multiply
    4,099.50x = 6,177.18 × 3,651.94
  4. Step 4: Simplify right side
    4,099.50x = 22,558,712.15
  5. Step 5: Solve for x
    x = 22,558,712.15/4,099.50
  6. Step 6: Final answer
    x = 5,502.80

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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.