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Finding the Fourth Proportional to 5,769.08, 8,653.20 and 3,296.14

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Solution

The fourth proportional to 5,769.08, 8,653.20 and 3,296.14 is: 4,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.08 : 8,653.20 = 3,296.14 : x
  2. Step 2: Convert to fraction form
    5,769.08/8,653.20 = 3,296.14/x
  3. Step 3: Cross multiply
    5,769.08x = 8,653.20 × 3,296.14
  4. Step 4: Simplify right side
    5,769.08x = 28,522,158.65
  5. Step 5: Solve for x
    x = 28,522,158.65/5,769.08
  6. Step 6: Final answer
    x = 4,943.97

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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.