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Finding the Fourth Proportional to 5,747.22, 8,617.23 and 4,369.50

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Solution

The fourth proportional to 5,747.22, 8,617.23 and 4,369.50 is: 6,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.22 : 8,617.23 = 4,369.50 : x
  2. Step 2: Convert to fraction form
    5,747.22/8,617.23 = 4,369.50/x
  3. Step 3: Cross multiply
    5,747.22x = 8,617.23 × 4,369.50
  4. Step 4: Simplify right side
    5,747.22x = 37,652,986.49
  5. Step 5: Solve for x
    x = 37,652,986.49/5,747.22
  6. Step 6: Final answer
    x = 6,551.51

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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.