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Finding the Fourth Proportional to 3,663.87, 5,493.20 and 1,715.01

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Solution

The fourth proportional to 3,663.87, 5,493.20 and 1,715.01 is: 2,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.87 : 5,493.20 = 1,715.01 : x
  2. Step 2: Convert to fraction form
    3,663.87/5,493.20 = 1,715.01/x
  3. Step 3: Cross multiply
    3,663.87x = 5,493.20 × 1,715.01
  4. Step 4: Simplify right side
    3,663.87x = 9,420,884.36
  5. Step 5: Solve for x
    x = 9,420,884.36/3,663.87
  6. Step 6: Final answer
    x = 2,571.29

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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.