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Finding the Fourth Proportional to 3,663.68, 5,496.44 and 1,473.88

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Solution

The fourth proportional to 3,663.68, 5,496.44 and 1,473.88 is: 2,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.68 : 5,496.44 = 1,473.88 : x
  2. Step 2: Convert to fraction form
    3,663.68/5,496.44 = 1,473.88/x
  3. Step 3: Cross multiply
    3,663.68x = 5,496.44 × 1,473.88
  4. Step 4: Simplify right side
    3,663.68x = 8,101,092.99
  5. Step 5: Solve for x
    x = 8,101,092.99/3,663.68
  6. Step 6: Final answer
    x = 2,211.19

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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.