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Finding the Fourth Proportional to 5,546.17, 8,326.52 and 3,709.09

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Solution

The fourth proportional to 5,546.17, 8,326.52 and 3,709.09 is: 5,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.17 : 8,326.52 = 3,709.09 : x
  2. Step 2: Convert to fraction form
    5,546.17/8,326.52 = 3,709.09/x
  3. Step 3: Cross multiply
    5,546.17x = 8,326.52 × 3,709.09
  4. Step 4: Simplify right side
    5,546.17x = 30,883,812.07
  5. Step 5: Solve for x
    x = 30,883,812.07/5,546.17
  6. Step 6: Final answer
    x = 5,568.49

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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.