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Finding the Fourth Proportional to 3,869.28, 5,797.08 and 3,466.08

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Solution

The fourth proportional to 3,869.28, 5,797.08 and 3,466.08 is: 5,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.28 : 5,797.08 = 3,466.08 : x
  2. Step 2: Convert to fraction form
    3,869.28/5,797.08 = 3,466.08/x
  3. Step 3: Cross multiply
    3,869.28x = 5,797.08 × 3,466.08
  4. Step 4: Simplify right side
    3,869.28x = 20,093,143.05
  5. Step 5: Solve for x
    x = 20,093,143.05/3,869.28
  6. Step 6: Final answer
    x = 5,192.99

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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.