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Finding the Fourth Proportional to 4,137.66, 6,206.49 and 2,910.56

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Solution

The fourth proportional to 4,137.66, 6,206.49 and 2,910.56 is: 4,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.66 : 6,206.49 = 2,910.56 : x
  2. Step 2: Convert to fraction form
    4,137.66/6,206.49 = 2,910.56/x
  3. Step 3: Cross multiply
    4,137.66x = 6,206.49 × 2,910.56
  4. Step 4: Simplify right side
    4,137.66x = 18,064,330.50
  5. Step 5: Solve for x
    x = 18,064,330.50/4,137.66
  6. Step 6: Final answer
    x = 4,365.83

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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.