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Finding the Fourth Proportional to 5,843.14, 8,761.59 and 2,552.38

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Solution

The fourth proportional to 5,843.14, 8,761.59 and 2,552.38 is: 3,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.14 : 8,761.59 = 2,552.38 : x
  2. Step 2: Convert to fraction form
    5,843.14/8,761.59 = 2,552.38/x
  3. Step 3: Cross multiply
    5,843.14x = 8,761.59 × 2,552.38
  4. Step 4: Simplify right side
    5,843.14x = 22,362,885.18
  5. Step 5: Solve for x
    x = 22,362,885.18/5,843.14
  6. Step 6: Final answer
    x = 3,827.21

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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.