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Finding the Fourth Proportional to 5,651.07, 8,471.62 and 2,138.64

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Solution

The fourth proportional to 5,651.07, 8,471.62 and 2,138.64 is: 3,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.07 : 8,471.62 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    5,651.07/8,471.62 = 2,138.64/x
  3. Step 3: Cross multiply
    5,651.07x = 8,471.62 × 2,138.64
  4. Step 4: Simplify right side
    5,651.07x = 18,117,751.92
  5. Step 5: Solve for x
    x = 18,117,751.92/5,651.07
  6. Step 6: Final answer
    x = 3,206.07

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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.