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Finding the Fourth Proportional to 5,120.66, 7,683.98 and 2,158.92

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Solution

The fourth proportional to 5,120.66, 7,683.98 and 2,158.92 is: 3,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.66 : 7,683.98 = 2,158.92 : x
  2. Step 2: Convert to fraction form
    5,120.66/7,683.98 = 2,158.92/x
  3. Step 3: Cross multiply
    5,120.66x = 7,683.98 × 2,158.92
  4. Step 4: Simplify right side
    5,120.66x = 16,589,087.31
  5. Step 5: Solve for x
    x = 16,589,087.31/5,120.66
  6. Step 6: Final answer
    x = 3,239.64

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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.