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Finding the Fourth Proportional to 3,201.53, 4,799.03 and 2,159.06

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Solution

The fourth proportional to 3,201.53, 4,799.03 and 2,159.06 is: 3,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.53 : 4,799.03 = 2,159.06 : x
  2. Step 2: Convert to fraction form
    3,201.53/4,799.03 = 2,159.06/x
  3. Step 3: Cross multiply
    3,201.53x = 4,799.03 × 2,159.06
  4. Step 4: Simplify right side
    3,201.53x = 10,361,358.92
  5. Step 5: Solve for x
    x = 10,361,358.92/3,201.53
  6. Step 6: Final answer
    x = 3,236.38

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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.