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Finding the Fourth Proportional to 5,855.82, 8,084.37 and 3,872.13

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Solution

The fourth proportional to 5,855.82, 8,084.37 and 3,872.13 is: 5,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.82 : 8,084.37 = 3,872.13 : x
  2. Step 2: Convert to fraction form
    5,855.82/8,084.37 = 3,872.13/x
  3. Step 3: Cross multiply
    5,855.82x = 8,084.37 × 3,872.13
  4. Step 4: Simplify right side
    5,855.82x = 31,303,671.83
  5. Step 5: Solve for x
    x = 31,303,671.83/5,855.82
  6. Step 6: Final answer
    x = 5,345.74

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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.