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Finding the Fourth Proportional to 5,954.91, 8,214.04 and 3,833.22

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Solution

The fourth proportional to 5,954.91, 8,214.04 and 3,833.22 is: 5,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.91 : 8,214.04 = 3,833.22 : x
  2. Step 2: Convert to fraction form
    5,954.91/8,214.04 = 3,833.22/x
  3. Step 3: Cross multiply
    5,954.91x = 8,214.04 × 3,833.22
  4. Step 4: Simplify right side
    5,954.91x = 31,486,222.41
  5. Step 5: Solve for x
    x = 31,486,222.41/5,954.91
  6. Step 6: Final answer
    x = 5,287.44

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1.5x scale

Why These Related Problems?

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