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Finding the Fourth Proportional to 3,194.91, 4,766.16 and 2,971.20

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Solution

The fourth proportional to 3,194.91, 4,766.16 and 2,971.20 is: 4,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.91 : 4,766.16 = 2,971.20 : x
  2. Step 2: Convert to fraction form
    3,194.91/4,766.16 = 2,971.20/x
  3. Step 3: Cross multiply
    3,194.91x = 4,766.16 × 2,971.20
  4. Step 4: Simplify right side
    3,194.91x = 14,161,214.59
  5. Step 5: Solve for x
    x = 14,161,214.59/3,194.91
  6. Step 6: Final answer
    x = 4,432.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.