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Finding the Fourth Proportional to 5,701.96, 7,867.86 and 3,217.48

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Solution

The fourth proportional to 5,701.96, 7,867.86 and 3,217.48 is: 4,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.96 : 7,867.86 = 3,217.48 : x
  2. Step 2: Convert to fraction form
    5,701.96/7,867.86 = 3,217.48/x
  3. Step 3: Cross multiply
    5,701.96x = 7,867.86 × 3,217.48
  4. Step 4: Simplify right side
    5,701.96x = 25,314,682.19
  5. Step 5: Solve for x
    x = 25,314,682.19/5,701.96
  6. Step 6: Final answer
    x = 4,439.65

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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.