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Finding the Fourth Proportional to 5,802, 8,695.70 and 4,161.75

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Solution

The fourth proportional to 5,802, 8,695.70 and 4,161.75 is: 6,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 8,695.70 = 4,161.75 : x
  2. Step 2: Convert to fraction form
    5,802/8,695.70 = 4,161.75/x
  3. Step 3: Cross multiply
    5,802x = 8,695.70 × 4,161.75
  4. Step 4: Simplify right side
    5,802x = 36,189,329.48
  5. Step 5: Solve for x
    x = 36,189,329.48/5,802
  6. Step 6: Final answer
    x = 6,237.39

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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.