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Finding the Fourth Proportional to 4,118.72, 6,171.90 and 3,073.80

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Solution

The fourth proportional to 4,118.72, 6,171.90 and 3,073.80 is: 4,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.72 : 6,171.90 = 3,073.80 : x
  2. Step 2: Convert to fraction form
    4,118.72/6,171.90 = 3,073.80/x
  3. Step 3: Cross multiply
    4,118.72x = 6,171.90 × 3,073.80
  4. Step 4: Simplify right side
    4,118.72x = 18,971,186.22
  5. Step 5: Solve for x
    x = 18,971,186.22/4,118.72
  6. Step 6: Final answer
    x = 4,606.09

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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.