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Finding the Fourth Proportional to 3,754.08, 5,632.08 and 1,446.24

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Solution

The fourth proportional to 3,754.08, 5,632.08 and 1,446.24 is: 2,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.08 : 5,632.08 = 1,446.24 : x
  2. Step 2: Convert to fraction form
    3,754.08/5,632.08 = 1,446.24/x
  3. Step 3: Cross multiply
    3,754.08x = 5,632.08 × 1,446.24
  4. Step 4: Simplify right side
    3,754.08x = 8,145,339.38
  5. Step 5: Solve for x
    x = 8,145,339.38/3,754.08
  6. Step 6: Final answer
    x = 2,169.73

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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.