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Finding the Fourth Proportional to 5,921.28, 8,169.87 and 3,404.10

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Solution

The fourth proportional to 5,921.28, 8,169.87 and 3,404.10 is: 4,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.28 : 8,169.87 = 3,404.10 : x
  2. Step 2: Convert to fraction form
    5,921.28/8,169.87 = 3,404.10/x
  3. Step 3: Cross multiply
    5,921.28x = 8,169.87 × 3,404.10
  4. Step 4: Simplify right side
    5,921.28x = 27,811,054.47
  5. Step 5: Solve for x
    x = 27,811,054.47/5,921.28
  6. Step 6: Final answer
    x = 4,696.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.