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Finding the Fourth Proportional to 3,863.56, 5,795.40 and 941.92

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Solution

The fourth proportional to 3,863.56, 5,795.40 and 941.92 is: 1,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.56 : 5,795.40 = 941.92 : x
  2. Step 2: Convert to fraction form
    3,863.56/5,795.40 = 941.92/x
  3. Step 3: Cross multiply
    3,863.56x = 5,795.40 × 941.92
  4. Step 4: Simplify right side
    3,863.56x = 5,458,803.17
  5. Step 5: Solve for x
    x = 5,458,803.17/3,863.56
  6. Step 6: Final answer
    x = 1,412.89

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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.