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Finding the Fourth Proportional to 5,865.11, 8,094.01 and 3,212.66

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Solution

The fourth proportional to 5,865.11, 8,094.01 and 3,212.66 is: 4,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.11 : 8,094.01 = 3,212.66 : x
  2. Step 2: Convert to fraction form
    5,865.11/8,094.01 = 3,212.66/x
  3. Step 3: Cross multiply
    5,865.11x = 8,094.01 × 3,212.66
  4. Step 4: Simplify right side
    5,865.11x = 26,003,261.70
  5. Step 5: Solve for x
    x = 26,003,261.70/5,865.11
  6. Step 6: Final answer
    x = 4,433.55

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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.