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Finding the Fourth Proportional to 5,856, 8,073.16 and 3,964.60

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Solution

The fourth proportional to 5,856, 8,073.16 and 3,964.60 is: 5,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 8,073.16 = 3,964.60 : x
  2. Step 2: Convert to fraction form
    5,856/8,073.16 = 3,964.60/x
  3. Step 3: Cross multiply
    5,856x = 8,073.16 × 3,964.60
  4. Step 4: Simplify right side
    5,856x = 32,006,850.14
  5. Step 5: Solve for x
    x = 32,006,850.14/5,856
  6. Step 6: Final answer
    x = 5,465.65

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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.