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Finding the Fourth Proportional to 3,664.05, 5,496.33 and 1,472.78

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Solution

The fourth proportional to 3,664.05, 5,496.33 and 1,472.78 is: 2,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.05 : 5,496.33 = 1,472.78 : x
  2. Step 2: Convert to fraction form
    3,664.05/5,496.33 = 1,472.78/x
  3. Step 3: Cross multiply
    3,664.05x = 5,496.33 × 1,472.78
  4. Step 4: Simplify right side
    3,664.05x = 8,094,857.42
  5. Step 5: Solve for x
    x = 8,094,857.42/3,664.05
  6. Step 6: Final answer
    x = 2,209.26

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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.