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Finding the Fourth Proportional to 4,201.34, 5,796.78 and 2,804.36

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Solution

The fourth proportional to 4,201.34, 5,796.78 and 2,804.36 is: 3,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.34 : 5,796.78 = 2,804.36 : x
  2. Step 2: Convert to fraction form
    4,201.34/5,796.78 = 2,804.36/x
  3. Step 3: Cross multiply
    4,201.34x = 5,796.78 × 2,804.36
  4. Step 4: Simplify right side
    4,201.34x = 16,256,257.96
  5. Step 5: Solve for x
    x = 16,256,257.96/4,201.34
  6. Step 6: Final answer
    x = 3,869.30

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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.