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Finding the Fourth Proportional to 3,846.58, 5,768.96 and 1,073.34

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Solution

The fourth proportional to 3,846.58, 5,768.96 and 1,073.34 is: 1,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.58 : 5,768.96 = 1,073.34 : x
  2. Step 2: Convert to fraction form
    3,846.58/5,768.96 = 1,073.34/x
  3. Step 3: Cross multiply
    3,846.58x = 5,768.96 × 1,073.34
  4. Step 4: Simplify right side
    3,846.58x = 6,192,055.53
  5. Step 5: Solve for x
    x = 6,192,055.53/3,846.58
  6. Step 6: Final answer
    x = 1,609.76

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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.