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Finding the Fourth Proportional to 5,471.48, 8,194.91 and 3,835.32

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Solution

The fourth proportional to 5,471.48, 8,194.91 and 3,835.32 is: 5,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.48 : 8,194.91 = 3,835.32 : x
  2. Step 2: Convert to fraction form
    5,471.48/8,194.91 = 3,835.32/x
  3. Step 3: Cross multiply
    5,471.48x = 8,194.91 × 3,835.32
  4. Step 4: Simplify right side
    5,471.48x = 31,430,052.31
  5. Step 5: Solve for x
    x = 31,430,052.31/5,471.48
  6. Step 6: Final answer
    x = 5,744.34

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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.