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Finding the Fourth Proportional to 4,085.32, 6,128.22 and 1,163.88

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Solution

The fourth proportional to 4,085.32, 6,128.22 and 1,163.88 is: 1,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.32 : 6,128.22 = 1,163.88 : x
  2. Step 2: Convert to fraction form
    4,085.32/6,128.22 = 1,163.88/x
  3. Step 3: Cross multiply
    4,085.32x = 6,128.22 × 1,163.88
  4. Step 4: Simplify right side
    4,085.32x = 7,132,512.69
  5. Step 5: Solve for x
    x = 7,132,512.69/4,085.32
  6. Step 6: Final answer
    x = 1,745.89

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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.