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Finding the Fourth Proportional to 5,855.94, 8,084.54 and 3,872.25

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Solution

The fourth proportional to 5,855.94, 8,084.54 and 3,872.25 is: 5,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.94 : 8,084.54 = 3,872.25 : x
  2. Step 2: Convert to fraction form
    5,855.94/8,084.54 = 3,872.25/x
  3. Step 3: Cross multiply
    5,855.94x = 8,084.54 × 3,872.25
  4. Step 4: Simplify right side
    5,855.94x = 31,305,360.02
  5. Step 5: Solve for x
    x = 31,305,360.02/5,855.94
  6. Step 6: Final answer
    x = 5,345.92

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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.