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Finding the Fourth Proportional to 5,640.84, 8,452.01 and 3,994.43

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Solution

The fourth proportional to 5,640.84, 8,452.01 and 3,994.43 is: 5,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.84 : 8,452.01 = 3,994.43 : x
  2. Step 2: Convert to fraction form
    5,640.84/8,452.01 = 3,994.43/x
  3. Step 3: Cross multiply
    5,640.84x = 8,452.01 × 3,994.43
  4. Step 4: Simplify right side
    5,640.84x = 33,760,900.07
  5. Step 5: Solve for x
    x = 33,760,900.07/5,640.84
  6. Step 6: Final answer
    x = 5,985.09

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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.