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Finding the Fourth Proportional to 3,201.07, 4,797.50 and 2,469.11

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Solution

The fourth proportional to 3,201.07, 4,797.50 and 2,469.11 is: 3,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.07 : 4,797.50 = 2,469.11 : x
  2. Step 2: Convert to fraction form
    3,201.07/4,797.50 = 2,469.11/x
  3. Step 3: Cross multiply
    3,201.07x = 4,797.50 × 2,469.11
  4. Step 4: Simplify right side
    3,201.07x = 11,845,555.23
  5. Step 5: Solve for x
    x = 11,845,555.23/3,201.07
  6. Step 6: Final answer
    x = 3,700.50

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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.