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Finding the Fourth Proportional to 4,113.72, 6,171.06 and 3,793.08

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Solution

The fourth proportional to 4,113.72, 6,171.06 and 3,793.08 is: 5,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.72 : 6,171.06 = 3,793.08 : x
  2. Step 2: Convert to fraction form
    4,113.72/6,171.06 = 3,793.08/x
  3. Step 3: Cross multiply
    4,113.72x = 6,171.06 × 3,793.08
  4. Step 4: Simplify right side
    4,113.72x = 23,407,324.26
  5. Step 5: Solve for x
    x = 23,407,324.26/4,113.72
  6. Step 6: Final answer
    x = 5,690.06

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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.