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Finding the Fourth Proportional to 5,406.54, 8,111.04 and 2,286.81

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Solution

The fourth proportional to 5,406.54, 8,111.04 and 2,286.81 is: 3,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.54 : 8,111.04 = 2,286.81 : x
  2. Step 2: Convert to fraction form
    5,406.54/8,111.04 = 2,286.81/x
  3. Step 3: Cross multiply
    5,406.54x = 8,111.04 × 2,286.81
  4. Step 4: Simplify right side
    5,406.54x = 18,548,407.38
  5. Step 5: Solve for x
    x = 18,548,407.38/5,406.54
  6. Step 6: Final answer
    x = 3,430.74

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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.