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Finding the Fourth Proportional to 5,958.86, 8,923.65 and 4,912.46

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Solution

The fourth proportional to 5,958.86, 8,923.65 and 4,912.46 is: 7,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.86 : 8,923.65 = 4,912.46 : x
  2. Step 2: Convert to fraction form
    5,958.86/8,923.65 = 4,912.46/x
  3. Step 3: Cross multiply
    5,958.86x = 8,923.65 × 4,912.46
  4. Step 4: Simplify right side
    5,958.86x = 43,837,073.68
  5. Step 5: Solve for x
    x = 43,837,073.68/5,958.86
  6. Step 6: Final answer
    x = 7,356.62

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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.