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Finding the Fourth Proportional to 3,299.16, 4,553.28 and 1,902

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Solution

The fourth proportional to 3,299.16, 4,553.28 and 1,902 is: 2,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.16 : 4,553.28 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,299.16/4,553.28 = 1,902/x
  3. Step 3: Cross multiply
    3,299.16x = 4,553.28 × 1,902
  4. Step 4: Simplify right side
    3,299.16x = 8,660,338.56
  5. Step 5: Solve for x
    x = 8,660,338.56/3,299.16
  6. Step 6: Final answer
    x = 2,625.01

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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.