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Finding the Fourth Proportional to 5,364.81, 8,047.34 and 1,469.22

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Solution

The fourth proportional to 5,364.81, 8,047.34 and 1,469.22 is: 2,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.81 : 8,047.34 = 1,469.22 : x
  2. Step 2: Convert to fraction form
    5,364.81/8,047.34 = 1,469.22/x
  3. Step 3: Cross multiply
    5,364.81x = 8,047.34 × 1,469.22
  4. Step 4: Simplify right side
    5,364.81x = 11,823,305.53
  5. Step 5: Solve for x
    x = 11,823,305.53/5,364.81
  6. Step 6: Final answer
    x = 2,203.86

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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.