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Finding the Fourth Proportional to 3,754.66, 5,632.26 and 1,157.26

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Solution

The fourth proportional to 3,754.66, 5,632.26 and 1,157.26 is: 1,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.66 : 5,632.26 = 1,157.26 : x
  2. Step 2: Convert to fraction form
    3,754.66/5,632.26 = 1,157.26/x
  3. Step 3: Cross multiply
    3,754.66x = 5,632.26 × 1,157.26
  4. Step 4: Simplify right side
    3,754.66x = 6,517,989.21
  5. Step 5: Solve for x
    x = 6,517,989.21/3,754.66
  6. Step 6: Final answer
    x = 1,735.97

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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.