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Finding the Fourth Proportional to 5,867.36, 8,096.64 and 3,214.71

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Solution

The fourth proportional to 5,867.36, 8,096.64 and 3,214.71 is: 4,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.36 : 8,096.64 = 3,214.71 : x
  2. Step 2: Convert to fraction form
    5,867.36/8,096.64 = 3,214.71/x
  3. Step 3: Cross multiply
    5,867.36x = 8,096.64 × 3,214.71
  4. Step 4: Simplify right side
    5,867.36x = 26,028,349.57
  5. Step 5: Solve for x
    x = 26,028,349.57/5,867.36
  6. Step 6: Final answer
    x = 4,436.13

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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.