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Finding the Fourth Proportional to 3,091.86, 4,266.94 and 2,914.17

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Solution

The fourth proportional to 3,091.86, 4,266.94 and 2,914.17 is: 4,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.86 : 4,266.94 = 2,914.17 : x
  2. Step 2: Convert to fraction form
    3,091.86/4,266.94 = 2,914.17/x
  3. Step 3: Cross multiply
    3,091.86x = 4,266.94 × 2,914.17
  4. Step 4: Simplify right side
    3,091.86x = 12,434,588.54
  5. Step 5: Solve for x
    x = 12,434,588.54/3,091.86
  6. Step 6: Final answer
    x = 4,021.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.