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Finding the Fourth Proportional to 5,193.75, 7,790.76 and 1,731

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Solution

The fourth proportional to 5,193.75, 7,790.76 and 1,731 is: 2,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.75 : 7,790.76 = 1,731 : x
  2. Step 2: Convert to fraction form
    5,193.75/7,790.76 = 1,731/x
  3. Step 3: Cross multiply
    5,193.75x = 7,790.76 × 1,731
  4. Step 4: Simplify right side
    5,193.75x = 13,485,805.56
  5. Step 5: Solve for x
    x = 13,485,805.56/5,193.75
  6. Step 6: Final answer
    x = 2,596.54

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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.