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Finding the Fourth Proportional to 3,711.36, 5,110.02 and 3,150.66

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Solution

The fourth proportional to 3,711.36, 5,110.02 and 3,150.66 is: 4,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.36 : 5,110.02 = 3,150.66 : x
  2. Step 2: Convert to fraction form
    3,711.36/5,110.02 = 3,150.66/x
  3. Step 3: Cross multiply
    3,711.36x = 5,110.02 × 3,150.66
  4. Step 4: Simplify right side
    3,711.36x = 16,099,935.61
  5. Step 5: Solve for x
    x = 16,099,935.61/3,711.36
  6. Step 6: Final answer
    x = 4,338.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.