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Finding the Fourth Proportional to 5,982.06, 8,258.96 and 3,858.63

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Solution

The fourth proportional to 5,982.06, 8,258.96 and 3,858.63 is: 5,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.06 : 8,258.96 = 3,858.63 : x
  2. Step 2: Convert to fraction form
    5,982.06/8,258.96 = 3,858.63/x
  3. Step 3: Cross multiply
    5,982.06x = 8,258.96 × 3,858.63
  4. Step 4: Simplify right side
    5,982.06x = 31,868,251.53
  5. Step 5: Solve for x
    x = 31,868,251.53/5,982.06
  6. Step 6: Final answer
    x = 5,327.30

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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.