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Finding the Fourth Proportional to 5,735.85, 8,589.87 and 2,917.26

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Solution

The fourth proportional to 5,735.85, 8,589.87 and 2,917.26 is: 4,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.85 : 8,589.87 = 2,917.26 : x
  2. Step 2: Convert to fraction form
    5,735.85/8,589.87 = 2,917.26/x
  3. Step 3: Cross multiply
    5,735.85x = 8,589.87 × 2,917.26
  4. Step 4: Simplify right side
    5,735.85x = 25,058,884.16
  5. Step 5: Solve for x
    x = 25,058,884.16/5,735.85
  6. Step 6: Final answer
    x = 4,368.82

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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.