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Finding the Fourth Proportional to 5,647.87, 8,468.53 and 2,138.15

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Solution

The fourth proportional to 5,647.87, 8,468.53 and 2,138.15 is: 3,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.87 : 8,468.53 = 2,138.15 : x
  2. Step 2: Convert to fraction form
    5,647.87/8,468.53 = 2,138.15/x
  3. Step 3: Cross multiply
    5,647.87x = 8,468.53 × 2,138.15
  4. Step 4: Simplify right side
    5,647.87x = 18,106,987.42
  5. Step 5: Solve for x
    x = 18,106,987.42/5,647.87
  6. Step 6: Final answer
    x = 3,205.99

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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.