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Finding the Fourth Proportional to 5,914.54, 8,857.23 and 3,717.82

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Solution

The fourth proportional to 5,914.54, 8,857.23 and 3,717.82 is: 5,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.54 : 8,857.23 = 3,717.82 : x
  2. Step 2: Convert to fraction form
    5,914.54/8,857.23 = 3,717.82/x
  3. Step 3: Cross multiply
    5,914.54x = 8,857.23 × 3,717.82
  4. Step 4: Simplify right side
    5,914.54x = 32,929,586.84
  5. Step 5: Solve for x
    x = 32,929,586.84/5,914.54
  6. Step 6: Final answer
    x = 5,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.