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Finding the Fourth Proportional to 3,762.96, 5,193.64 and 2,191.38

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Solution

The fourth proportional to 3,762.96, 5,193.64 and 2,191.38 is: 3,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.96 : 5,193.64 = 2,191.38 : x
  2. Step 2: Convert to fraction form
    3,762.96/5,193.64 = 2,191.38/x
  3. Step 3: Cross multiply
    3,762.96x = 5,193.64 × 2,191.38
  4. Step 4: Simplify right side
    3,762.96x = 11,381,238.82
  5. Step 5: Solve for x
    x = 11,381,238.82/3,762.96
  6. Step 6: Final answer
    x = 3,024.54

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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.