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Finding the Fourth Proportional to 4,109.52, 6,164.43 and 1,336.22

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Solution

The fourth proportional to 4,109.52, 6,164.43 and 1,336.22 is: 2,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.52 : 6,164.43 = 1,336.22 : x
  2. Step 2: Convert to fraction form
    4,109.52/6,164.43 = 1,336.22/x
  3. Step 3: Cross multiply
    4,109.52x = 6,164.43 × 1,336.22
  4. Step 4: Simplify right side
    4,109.52x = 8,237,034.65
  5. Step 5: Solve for x
    x = 8,237,034.65/4,109.52
  6. Step 6: Final answer
    x = 2,004.38

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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.