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Finding the Fourth Proportional to 5,647.35, 8,471.11 and 2,138.99

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Solution

The fourth proportional to 5,647.35, 8,471.11 and 2,138.99 is: 3,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.35 : 8,471.11 = 2,138.99 : x
  2. Step 2: Convert to fraction form
    5,647.35/8,471.11 = 2,138.99/x
  3. Step 3: Cross multiply
    5,647.35x = 8,471.11 × 2,138.99
  4. Step 4: Simplify right side
    5,647.35x = 18,119,653.26
  5. Step 5: Solve for x
    x = 18,119,653.26/5,647.35
  6. Step 6: Final answer
    x = 3,208.53

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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.