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Finding the Fourth Proportional to 5,937.87, 8,194.14 and 3,285.48

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Solution

The fourth proportional to 5,937.87, 8,194.14 and 3,285.48 is: 4,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.87 : 8,194.14 = 3,285.48 : x
  2. Step 2: Convert to fraction form
    5,937.87/8,194.14 = 3,285.48/x
  3. Step 3: Cross multiply
    5,937.87x = 8,194.14 × 3,285.48
  4. Step 4: Simplify right side
    5,937.87x = 26,921,683.09
  5. Step 5: Solve for x
    x = 26,921,683.09/5,937.87
  6. Step 6: Final answer
    x = 4,533.90

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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.