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Finding the Fourth Proportional to 3,846.18, 5,769.90 and 1,248.60

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Solution

The fourth proportional to 3,846.18, 5,769.90 and 1,248.60 is: 1,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.18 : 5,769.90 = 1,248.60 : x
  2. Step 2: Convert to fraction form
    3,846.18/5,769.90 = 1,248.60/x
  3. Step 3: Cross multiply
    3,846.18x = 5,769.90 × 1,248.60
  4. Step 4: Simplify right side
    3,846.18x = 7,204,297.14
  5. Step 5: Solve for x
    x = 7,204,297.14/3,846.18
  6. Step 6: Final answer
    x = 1,873.10

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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.