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Finding the Fourth Proportional to 5,840.14, 8,760.22 and 3,878.32

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Solution

The fourth proportional to 5,840.14, 8,760.22 and 3,878.32 is: 5,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.14 : 8,760.22 = 3,878.32 : x
  2. Step 2: Convert to fraction form
    5,840.14/8,760.22 = 3,878.32/x
  3. Step 3: Cross multiply
    5,840.14x = 8,760.22 × 3,878.32
  4. Step 4: Simplify right side
    5,840.14x = 33,974,936.43
  5. Step 5: Solve for x
    x = 33,974,936.43/5,840.14
  6. Step 6: Final answer
    x = 5,817.49

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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.