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Finding the Fourth Proportional to 5,701.62, 7,868.40 and 3,183.66

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Solution

The fourth proportional to 5,701.62, 7,868.40 and 3,183.66 is: 4,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.62 : 7,868.40 = 3,183.66 : x
  2. Step 2: Convert to fraction form
    5,701.62/7,868.40 = 3,183.66/x
  3. Step 3: Cross multiply
    5,701.62x = 7,868.40 × 3,183.66
  4. Step 4: Simplify right side
    5,701.62x = 25,050,310.34
  5. Step 5: Solve for x
    x = 25,050,310.34/5,701.62
  6. Step 6: Final answer
    x = 4,393.54

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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.