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Finding the Fourth Proportional to 5,546.93, 8,322 and 2,084.45

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Solution

The fourth proportional to 5,546.93, 8,322 and 2,084.45 is: 3,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.93 : 8,322 = 2,084.45 : x
  2. Step 2: Convert to fraction form
    5,546.93/8,322 = 2,084.45/x
  3. Step 3: Cross multiply
    5,546.93x = 8,322 × 2,084.45
  4. Step 4: Simplify right side
    5,546.93x = 17,346,751.29
  5. Step 5: Solve for x
    x = 17,346,751.29/5,546.93
  6. Step 6: Final answer
    x = 3,127.27

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