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Finding the Fourth Proportional to 5,864.88, 8,093.66 and 3,212.40

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Solution

The fourth proportional to 5,864.88, 8,093.66 and 3,212.40 is: 4,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.88 : 8,093.66 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    5,864.88/8,093.66 = 3,212.40/x
  3. Step 3: Cross multiply
    5,864.88x = 8,093.66 × 3,212.40
  4. Step 4: Simplify right side
    5,864.88x = 26,000,073.38
  5. Step 5: Solve for x
    x = 26,000,073.38/5,864.88
  6. Step 6: Final answer
    x = 4,433.18

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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.