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Finding the Fourth Proportional to 4,201.56, 5,795.73 and 3,705.39

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Solution

The fourth proportional to 4,201.56, 5,795.73 and 3,705.39 is: 5,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.56 : 5,795.73 = 3,705.39 : x
  2. Step 2: Convert to fraction form
    4,201.56/5,795.73 = 3,705.39/x
  3. Step 3: Cross multiply
    4,201.56x = 5,795.73 × 3,705.39
  4. Step 4: Simplify right side
    4,201.56x = 21,475,439.98
  5. Step 5: Solve for x
    x = 21,475,439.98/4,201.56
  6. Step 6: Final answer
    x = 5,111.30

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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.