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Finding the Fourth Proportional to 4,409.82, 6,614.01 and 1,289.09

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Solution

The fourth proportional to 4,409.82, 6,614.01 and 1,289.09 is: 1,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.82 : 6,614.01 = 1,289.09 : x
  2. Step 2: Convert to fraction form
    4,409.82/6,614.01 = 1,289.09/x
  3. Step 3: Cross multiply
    4,409.82x = 6,614.01 × 1,289.09
  4. Step 4: Simplify right side
    4,409.82x = 8,526,021.08
  5. Step 5: Solve for x
    x = 8,526,021.08/4,409.82
  6. Step 6: Final answer
    x = 1,933.42

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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.