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Finding the Fourth Proportional to 5,151.65, 7,722.07 and 2,683.85

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Solution

The fourth proportional to 5,151.65, 7,722.07 and 2,683.85 is: 4,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.65 : 7,722.07 = 2,683.85 : x
  2. Step 2: Convert to fraction form
    5,151.65/7,722.07 = 2,683.85/x
  3. Step 3: Cross multiply
    5,151.65x = 7,722.07 × 2,683.85
  4. Step 4: Simplify right side
    5,151.65x = 20,724,832.25
  5. Step 5: Solve for x
    x = 20,724,832.25/5,151.65
  6. Step 6: Final answer
    x = 4,022.95

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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.