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Finding the Fourth Proportional to 3,858.92, 5,788.34 and 937.26

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Solution

The fourth proportional to 3,858.92, 5,788.34 and 937.26 is: 1,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.92 : 5,788.34 = 937.26 : x
  2. Step 2: Convert to fraction form
    3,858.92/5,788.34 = 937.26/x
  3. Step 3: Cross multiply
    3,858.92x = 5,788.34 × 937.26
  4. Step 4: Simplify right side
    3,858.92x = 5,425,179.55
  5. Step 5: Solve for x
    x = 5,425,179.55/3,858.92
  6. Step 6: Final answer
    x = 1,405.88

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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.