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Finding the Fourth Proportional to 4,109.99, 6,164.41 and 1,336.70

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Solution

The fourth proportional to 4,109.99, 6,164.41 and 1,336.70 is: 2,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.99 : 6,164.41 = 1,336.70 : x
  2. Step 2: Convert to fraction form
    4,109.99/6,164.41 = 1,336.70/x
  3. Step 3: Cross multiply
    4,109.99x = 6,164.41 × 1,336.70
  4. Step 4: Simplify right side
    4,109.99x = 8,239,966.85
  5. Step 5: Solve for x
    x = 8,239,966.85/4,109.99
  6. Step 6: Final answer
    x = 2,004.86

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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.