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Finding the Fourth Proportional to 5,947.56, 8,203.74 and 3,588.12

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Solution

The fourth proportional to 5,947.56, 8,203.74 and 3,588.12 is: 4,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.56 : 8,203.74 = 3,588.12 : x
  2. Step 2: Convert to fraction form
    5,947.56/8,203.74 = 3,588.12/x
  3. Step 3: Cross multiply
    5,947.56x = 8,203.74 × 3,588.12
  4. Step 4: Simplify right side
    5,947.56x = 29,436,003.57
  5. Step 5: Solve for x
    x = 29,436,003.57/5,947.56
  6. Step 6: Final answer
    x = 4,949.26

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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.