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Finding the Fourth Proportional to 4,137.89, 6,206.82 and 1,945.01

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Solution

The fourth proportional to 4,137.89, 6,206.82 and 1,945.01 is: 2,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.89 : 6,206.82 = 1,945.01 : x
  2. Step 2: Convert to fraction form
    4,137.89/6,206.82 = 1,945.01/x
  3. Step 3: Cross multiply
    4,137.89x = 6,206.82 × 1,945.01
  4. Step 4: Simplify right side
    4,137.89x = 12,072,295.93
  5. Step 5: Solve for x
    x = 12,072,295.93/4,137.89
  6. Step 6: Final answer
    x = 2,917.50

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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.