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Finding the Fourth Proportional to 5,867.48, 8,096.46 and 3,214.82

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Solution

The fourth proportional to 5,867.48, 8,096.46 and 3,214.82 is: 4,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.48 : 8,096.46 = 3,214.82 : x
  2. Step 2: Convert to fraction form
    5,867.48/8,096.46 = 3,214.82/x
  3. Step 3: Cross multiply
    5,867.48x = 8,096.46 × 3,214.82
  4. Step 4: Simplify right side
    5,867.48x = 26,028,661.54
  5. Step 5: Solve for x
    x = 26,028,661.54/5,867.48
  6. Step 6: Final answer
    x = 4,436.09

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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.