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Finding the Fourth Proportional to 5,489.00, 8,233.52 and 1,329

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Solution

The fourth proportional to 5,489.00, 8,233.52 and 1,329 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.00 : 8,233.52 = 1,329 : x
  2. Step 2: Convert to fraction form
    5,489.00/8,233.52 = 1,329/x
  3. Step 3: Cross multiply
    5,489.00x = 8,233.52 × 1,329
  4. Step 4: Simplify right side
    5,489.00x = 10,942,346.42
  5. Step 5: Solve for x
    x = 10,942,346.42/5,489.00
  6. Step 6: Final answer
    x = 1,993.50

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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.