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Finding the Fourth Proportional to 5,790.96, 8,684.04 and 2,327.28

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Solution

The fourth proportional to 5,790.96, 8,684.04 and 2,327.28 is: 3,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.96 : 8,684.04 = 2,327.28 : x
  2. Step 2: Convert to fraction form
    5,790.96/8,684.04 = 2,327.28/x
  3. Step 3: Cross multiply
    5,790.96x = 8,684.04 × 2,327.28
  4. Step 4: Simplify right side
    5,790.96x = 20,210,192.61
  5. Step 5: Solve for x
    x = 20,210,192.61/5,790.96
  6. Step 6: Final answer
    x = 3,489.96

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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.