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Finding the Fourth Proportional to 5,858.52, 8,084.75 and 3,205.93

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Solution

The fourth proportional to 5,858.52, 8,084.75 and 3,205.93 is: 4,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.52 : 8,084.75 = 3,205.93 : x
  2. Step 2: Convert to fraction form
    5,858.52/8,084.75 = 3,205.93/x
  3. Step 3: Cross multiply
    5,858.52x = 8,084.75 × 3,205.93
  4. Step 4: Simplify right side
    5,858.52x = 25,919,142.57
  5. Step 5: Solve for x
    x = 25,919,142.57/5,858.52
  6. Step 6: Final answer
    x = 4,424.18

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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.