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Finding the Fourth Proportional to 4,135.96, 6,194.22 and 2,967.40

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Solution

The fourth proportional to 4,135.96, 6,194.22 and 2,967.40 is: 4,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.96 : 6,194.22 = 2,967.40 : x
  2. Step 2: Convert to fraction form
    4,135.96/6,194.22 = 2,967.40/x
  3. Step 3: Cross multiply
    4,135.96x = 6,194.22 × 2,967.40
  4. Step 4: Simplify right side
    4,135.96x = 18,380,728.43
  5. Step 5: Solve for x
    x = 18,380,728.43/4,135.96
  6. Step 6: Final answer
    x = 4,444.13

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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.