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Finding the Fourth Proportional to 5,858.56, 8,084.80 and 3,205.98

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Solution

The fourth proportional to 5,858.56, 8,084.80 and 3,205.98 is: 4,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.56 : 8,084.80 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    5,858.56/8,084.80 = 3,205.98/x
  3. Step 3: Cross multiply
    5,858.56x = 8,084.80 × 3,205.98
  4. Step 4: Simplify right side
    5,858.56x = 25,919,707.10
  5. Step 5: Solve for x
    x = 25,919,707.10/5,858.56
  6. Step 6: Final answer
    x = 4,424.25

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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.