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Finding the Fourth Proportional to 5,684.06, 7,844.63 and 3,446.03

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Solution

The fourth proportional to 5,684.06, 7,844.63 and 3,446.03 is: 4,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.06 : 7,844.63 = 3,446.03 : x
  2. Step 2: Convert to fraction form
    5,684.06/7,844.63 = 3,446.03/x
  3. Step 3: Cross multiply
    5,684.06x = 7,844.63 × 3,446.03
  4. Step 4: Simplify right side
    5,684.06x = 27,032,773.87
  5. Step 5: Solve for x
    x = 27,032,773.87/5,684.06
  6. Step 6: Final answer
    x = 4,755.90

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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.