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Finding the Fourth Proportional to 4,085.66, 6,128.48 and 1,163.58

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Solution

The fourth proportional to 4,085.66, 6,128.48 and 1,163.58 is: 1,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.66 : 6,128.48 = 1,163.58 : x
  2. Step 2: Convert to fraction form
    4,085.66/6,128.48 = 1,163.58/x
  3. Step 3: Cross multiply
    4,085.66x = 6,128.48 × 1,163.58
  4. Step 4: Simplify right side
    4,085.66x = 7,130,976.76
  5. Step 5: Solve for x
    x = 7,130,976.76/4,085.66
  6. Step 6: Final answer
    x = 1,745.37

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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.