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Finding the Fourth Proportional to 5,701.50, 7,868.34 and 3,183.69

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Solution

The fourth proportional to 5,701.50, 7,868.34 and 3,183.69 is: 4,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.50 : 7,868.34 = 3,183.69 : x
  2. Step 2: Convert to fraction form
    5,701.50/7,868.34 = 3,183.69/x
  3. Step 3: Cross multiply
    5,701.50x = 7,868.34 × 3,183.69
  4. Step 4: Simplify right side
    5,701.50x = 25,050,355.37
  5. Step 5: Solve for x
    x = 25,050,355.37/5,701.50
  6. Step 6: Final answer
    x = 4,393.64

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Why These Related Problems?

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