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Finding the Fourth Proportional to 3,662.28, 5,054.46 and 2,091

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Solution

The fourth proportional to 3,662.28, 5,054.46 and 2,091 is: 2,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.28 : 5,054.46 = 2,091 : x
  2. Step 2: Convert to fraction form
    3,662.28/5,054.46 = 2,091/x
  3. Step 3: Cross multiply
    3,662.28x = 5,054.46 × 2,091
  4. Step 4: Simplify right side
    3,662.28x = 10,568,875.86
  5. Step 5: Solve for x
    x = 10,568,875.86/3,662.28
  6. Step 6: Final answer
    x = 2,885.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.