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Finding the Fourth Proportional to 3,599, 4,967.16 and 2,202.56

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Solution

The fourth proportional to 3,599, 4,967.16 and 2,202.56 is: 3,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 4,967.16 = 2,202.56 : x
  2. Step 2: Convert to fraction form
    3,599/4,967.16 = 2,202.56/x
  3. Step 3: Cross multiply
    3,599x = 4,967.16 × 2,202.56
  4. Step 4: Simplify right side
    3,599x = 10,940,467.93
  5. Step 5: Solve for x
    x = 10,940,467.93/3,599
  6. Step 6: Final answer
    x = 3,039.86

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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.