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Finding the Fourth Proportional to 3,754.42, 5,632.31 and 1,156.75

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Solution

The fourth proportional to 3,754.42, 5,632.31 and 1,156.75 is: 1,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.42 : 5,632.31 = 1,156.75 : x
  2. Step 2: Convert to fraction form
    3,754.42/5,632.31 = 1,156.75/x
  3. Step 3: Cross multiply
    3,754.42x = 5,632.31 × 1,156.75
  4. Step 4: Simplify right side
    3,754.42x = 6,515,174.59
  5. Step 5: Solve for x
    x = 6,515,174.59/3,754.42
  6. Step 6: Final answer
    x = 1,735.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.