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Finding the Fourth Proportional to 5,867.25, 8,096.81 and 3,214.67

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Solution

The fourth proportional to 5,867.25, 8,096.81 and 3,214.67 is: 4,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.25 : 8,096.81 = 3,214.67 : x
  2. Step 2: Convert to fraction form
    5,867.25/8,096.81 = 3,214.67/x
  3. Step 3: Cross multiply
    5,867.25x = 8,096.81 × 3,214.67
  4. Step 4: Simplify right side
    5,867.25x = 26,028,515.65
  5. Step 5: Solve for x
    x = 26,028,515.65/5,867.25
  6. Step 6: Final answer
    x = 4,436.24

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1.5x scale

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.