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Finding the Fourth Proportional to 4,136.66, 6,197.77 and 3,447.76

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Solution

The fourth proportional to 4,136.66, 6,197.77 and 3,447.76 is: 5,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.66 : 6,197.77 = 3,447.76 : x
  2. Step 2: Convert to fraction form
    4,136.66/6,197.77 = 3,447.76/x
  3. Step 3: Cross multiply
    4,136.66x = 6,197.77 × 3,447.76
  4. Step 4: Simplify right side
    4,136.66x = 21,368,423.50
  5. Step 5: Solve for x
    x = 21,368,423.50/4,136.66
  6. Step 6: Final answer
    x = 5,165.62

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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.