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Finding the Fourth Proportional to 3,466.97, 5,194.97 and 2,814.51

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Solution

The fourth proportional to 3,466.97, 5,194.97 and 2,814.51 is: 4,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.97 : 5,194.97 = 2,814.51 : x
  2. Step 2: Convert to fraction form
    3,466.97/5,194.97 = 2,814.51/x
  3. Step 3: Cross multiply
    3,466.97x = 5,194.97 × 2,814.51
  4. Step 4: Simplify right side
    3,466.97x = 14,621,280.94
  5. Step 5: Solve for x
    x = 14,621,280.94/3,466.97
  6. Step 6: Final answer
    x = 4,217.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.