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Finding the Fourth Proportional to 3,591, 4,954.37 and 2,265.03

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Solution

The fourth proportional to 3,591, 4,954.37 and 2,265.03 is: 3,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591 : 4,954.37 = 2,265.03 : x
  2. Step 2: Convert to fraction form
    3,591/4,954.37 = 2,265.03/x
  3. Step 3: Cross multiply
    3,591x = 4,954.37 × 2,265.03
  4. Step 4: Simplify right side
    3,591x = 11,221,785.36
  5. Step 5: Solve for x
    x = 11,221,785.36/3,591
  6. Step 6: Final answer
    x = 3,124.98

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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.