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Finding the Fourth Proportional to 3,762.24, 5,190.24 and 2,189.76

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Solution

The fourth proportional to 3,762.24, 5,190.24 and 2,189.76 is: 3,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.24 : 5,190.24 = 2,189.76 : x
  2. Step 2: Convert to fraction form
    3,762.24/5,190.24 = 2,189.76/x
  3. Step 3: Cross multiply
    3,762.24x = 5,190.24 × 2,189.76
  4. Step 4: Simplify right side
    3,762.24x = 11,365,379.94
  5. Step 5: Solve for x
    x = 11,365,379.94/3,762.24
  6. Step 6: Final answer
    x = 3,020.91

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1.5x scale

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.