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Finding the Fourth Proportional to 5,937.90, 8,194.32 and 3,285.33

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Solution

The fourth proportional to 5,937.90, 8,194.32 and 3,285.33 is: 4,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.90 : 8,194.32 = 3,285.33 : x
  2. Step 2: Convert to fraction form
    5,937.90/8,194.32 = 3,285.33/x
  3. Step 3: Cross multiply
    5,937.90x = 8,194.32 × 3,285.33
  4. Step 4: Simplify right side
    5,937.90x = 26,921,045.33
  5. Step 5: Solve for x
    x = 26,921,045.33/5,937.90
  6. Step 6: Final answer
    x = 4,533.77

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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.