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Finding the Fourth Proportional to 3,863.70, 5,795.92 and 1,090.45

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Solution

The fourth proportional to 3,863.70, 5,795.92 and 1,090.45 is: 1,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.70 : 5,795.92 = 1,090.45 : x
  2. Step 2: Convert to fraction form
    3,863.70/5,795.92 = 1,090.45/x
  3. Step 3: Cross multiply
    3,863.70x = 5,795.92 × 1,090.45
  4. Step 4: Simplify right side
    3,863.70x = 6,320,160.96
  5. Step 5: Solve for x
    x = 6,320,160.96/3,863.70
  6. Step 6: Final answer
    x = 1,635.78

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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.