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Finding the Fourth Proportional to 5,701.35, 7,867.28 and 3,183.19

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Solution

The fourth proportional to 5,701.35, 7,867.28 and 3,183.19 is: 4,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.35 : 7,867.28 = 3,183.19 : x
  2. Step 2: Convert to fraction form
    5,701.35/7,867.28 = 3,183.19/x
  3. Step 3: Cross multiply
    5,701.35x = 7,867.28 × 3,183.19
  4. Step 4: Simplify right side
    5,701.35x = 25,043,006.34
  5. Step 5: Solve for x
    x = 25,043,006.34/5,701.35
  6. Step 6: Final answer
    x = 4,392.47

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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.