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Finding the Fourth Proportional to 3,663.30, 5,493.51 and 1,322.94

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Solution

The fourth proportional to 3,663.30, 5,493.51 and 1,322.94 is: 1,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.30 : 5,493.51 = 1,322.94 : x
  2. Step 2: Convert to fraction form
    3,663.30/5,493.51 = 1,322.94/x
  3. Step 3: Cross multiply
    3,663.30x = 5,493.51 × 1,322.94
  4. Step 4: Simplify right side
    3,663.30x = 7,267,584.12
  5. Step 5: Solve for x
    x = 7,267,584.12/3,663.30
  6. Step 6: Final answer
    x = 1,983.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.