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Finding the Fourth Proportional to 3,754.96, 5,632.22 and 1,122.48

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Solution

The fourth proportional to 3,754.96, 5,632.22 and 1,122.48 is: 1,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.96 : 5,632.22 = 1,122.48 : x
  2. Step 2: Convert to fraction form
    3,754.96/5,632.22 = 1,122.48/x
  3. Step 3: Cross multiply
    3,754.96x = 5,632.22 × 1,122.48
  4. Step 4: Simplify right side
    3,754.96x = 6,322,057.11
  5. Step 5: Solve for x
    x = 6,322,057.11/3,754.96
  6. Step 6: Final answer
    x = 1,683.66

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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.