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Finding the Fourth Proportional to 5,684.22, 7,843.59 and 3,446.64

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Solution

The fourth proportional to 5,684.22, 7,843.59 and 3,446.64 is: 4,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.22 : 7,843.59 = 3,446.64 : x
  2. Step 2: Convert to fraction form
    5,684.22/7,843.59 = 3,446.64/x
  3. Step 3: Cross multiply
    5,684.22x = 7,843.59 × 3,446.64
  4. Step 4: Simplify right side
    5,684.22x = 27,034,031.04
  5. Step 5: Solve for x
    x = 27,034,031.04/5,684.22
  6. Step 6: Final answer
    x = 4,755.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.