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Finding the Fourth Proportional to 3,843.41, 5,764.19 and 1,762.11

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Solution

The fourth proportional to 3,843.41, 5,764.19 and 1,762.11 is: 2,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.41 : 5,764.19 = 1,762.11 : x
  2. Step 2: Convert to fraction form
    3,843.41/5,764.19 = 1,762.11/x
  3. Step 3: Cross multiply
    3,843.41x = 5,764.19 × 1,762.11
  4. Step 4: Simplify right side
    3,843.41x = 10,157,128.03
  5. Step 5: Solve for x
    x = 10,157,128.03/3,843.41
  6. Step 6: Final answer
    x = 2,642.74

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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.