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Finding the Fourth Proportional to 5,904.50, 8,149.02 and 3,808.22

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Solution

The fourth proportional to 5,904.50, 8,149.02 and 3,808.22 is: 5,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.50 : 8,149.02 = 3,808.22 : x
  2. Step 2: Convert to fraction form
    5,904.50/8,149.02 = 3,808.22/x
  3. Step 3: Cross multiply
    5,904.50x = 8,149.02 × 3,808.22
  4. Step 4: Simplify right side
    5,904.50x = 31,033,260.94
  5. Step 5: Solve for x
    x = 31,033,260.94/5,904.50
  6. Step 6: Final answer
    x = 5,255.87

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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.