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Finding the Fourth Proportional to 3,845.40, 5,767.92 and 1,072.01

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Solution

The fourth proportional to 3,845.40, 5,767.92 and 1,072.01 is: 1,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.40 : 5,767.92 = 1,072.01 : x
  2. Step 2: Convert to fraction form
    3,845.40/5,767.92 = 1,072.01/x
  3. Step 3: Cross multiply
    3,845.40x = 5,767.92 × 1,072.01
  4. Step 4: Simplify right side
    3,845.40x = 6,183,282.34
  5. Step 5: Solve for x
    x = 6,183,282.34/3,845.40
  6. Step 6: Final answer
    x = 1,607.97

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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.