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Finding the Fourth Proportional to 5,546.98, 8,322.09 and 2,084.50

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Solution

The fourth proportional to 5,546.98, 8,322.09 and 2,084.50 is: 3,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.98 : 8,322.09 = 2,084.50 : x
  2. Step 2: Convert to fraction form
    5,546.98/8,322.09 = 2,084.50/x
  3. Step 3: Cross multiply
    5,546.98x = 8,322.09 × 2,084.50
  4. Step 4: Simplify right side
    5,546.98x = 17,347,396.61
  5. Step 5: Solve for x
    x = 17,347,396.61/5,546.98
  6. Step 6: Final answer
    x = 3,127.36

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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.