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Finding the Fourth Proportional to 5,935.48, 8,908.50 and 3,164.44

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Solution

The fourth proportional to 5,935.48, 8,908.50 and 3,164.44 is: 4,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.48 : 8,908.50 = 3,164.44 : x
  2. Step 2: Convert to fraction form
    5,935.48/8,908.50 = 3,164.44/x
  3. Step 3: Cross multiply
    5,935.48x = 8,908.50 × 3,164.44
  4. Step 4: Simplify right side
    5,935.48x = 28,190,413.74
  5. Step 5: Solve for x
    x = 28,190,413.74/5,935.48
  6. Step 6: Final answer
    x = 4,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.