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Finding the Fourth Proportional to 5,629.52, 8,436.04 and 3,169.14

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Solution

The fourth proportional to 5,629.52, 8,436.04 and 3,169.14 is: 4,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.52 : 8,436.04 = 3,169.14 : x
  2. Step 2: Convert to fraction form
    5,629.52/8,436.04 = 3,169.14/x
  3. Step 3: Cross multiply
    5,629.52x = 8,436.04 × 3,169.14
  4. Step 4: Simplify right side
    5,629.52x = 26,734,991.81
  5. Step 5: Solve for x
    x = 26,734,991.81/5,629.52
  6. Step 6: Final answer
    x = 4,749.07

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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.