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Finding the Fourth Proportional to 3,756.63, 5,632.92 and 1,906.59

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Solution

The fourth proportional to 3,756.63, 5,632.92 and 1,906.59 is: 2,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.63 : 5,632.92 = 1,906.59 : x
  2. Step 2: Convert to fraction form
    3,756.63/5,632.92 = 1,906.59/x
  3. Step 3: Cross multiply
    3,756.63x = 5,632.92 × 1,906.59
  4. Step 4: Simplify right side
    3,756.63x = 10,739,668.94
  5. Step 5: Solve for x
    x = 10,739,668.94/3,756.63
  6. Step 6: Final answer
    x = 2,858.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.