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Finding the Fourth Proportional to 5,951.22, 8,205.19 and 3,822.99

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Solution

The fourth proportional to 5,951.22, 8,205.19 and 3,822.99 is: 5,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.22 : 8,205.19 = 3,822.99 : x
  2. Step 2: Convert to fraction form
    5,951.22/8,205.19 = 3,822.99/x
  3. Step 3: Cross multiply
    5,951.22x = 8,205.19 × 3,822.99
  4. Step 4: Simplify right side
    5,951.22x = 31,368,359.32
  5. Step 5: Solve for x
    x = 31,368,359.32/5,951.22
  6. Step 6: Final answer
    x = 5,270.91

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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.