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Finding the Fourth Proportional to 3,765.96, 5,197.50 and 2,172.54

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Solution

The fourth proportional to 3,765.96, 5,197.50 and 2,172.54 is: 2,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.96 : 5,197.50 = 2,172.54 : x
  2. Step 2: Convert to fraction form
    3,765.96/5,197.50 = 2,172.54/x
  3. Step 3: Cross multiply
    3,765.96x = 5,197.50 × 2,172.54
  4. Step 4: Simplify right side
    3,765.96x = 11,291,776.65
  5. Step 5: Solve for x
    x = 11,291,776.65/3,765.96
  6. Step 6: Final answer
    x = 2,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.