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Finding the Fourth Proportional to 5,416.68, 8,134.02 and 3,377.64

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Solution

The fourth proportional to 5,416.68, 8,134.02 and 3,377.64 is: 5,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.68 : 8,134.02 = 3,377.64 : x
  2. Step 2: Convert to fraction form
    5,416.68/8,134.02 = 3,377.64/x
  3. Step 3: Cross multiply
    5,416.68x = 8,134.02 × 3,377.64
  4. Step 4: Simplify right side
    5,416.68x = 27,473,791.31
  5. Step 5: Solve for x
    x = 27,473,791.31/5,416.68
  6. Step 6: Final answer
    x = 5,072.07

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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.