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Finding the Fourth Proportional to 5,183.85, 7,150.07 and 3,193.77

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Solution

The fourth proportional to 5,183.85, 7,150.07 and 3,193.77 is: 4,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.85 : 7,150.07 = 3,193.77 : x
  2. Step 2: Convert to fraction form
    5,183.85/7,150.07 = 3,193.77/x
  3. Step 3: Cross multiply
    5,183.85x = 7,150.07 × 3,193.77
  4. Step 4: Simplify right side
    5,183.85x = 22,835,663.10
  5. Step 5: Solve for x
    x = 22,835,663.10/5,183.85
  6. Step 6: Final answer
    x = 4,405.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.