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Finding the Fourth Proportional to 5,477.64, 8,216.43 and 2,014.92

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Solution

The fourth proportional to 5,477.64, 8,216.43 and 2,014.92 is: 3,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.64 : 8,216.43 = 2,014.92 : x
  2. Step 2: Convert to fraction form
    5,477.64/8,216.43 = 2,014.92/x
  3. Step 3: Cross multiply
    5,477.64x = 8,216.43 × 2,014.92
  4. Step 4: Simplify right side
    5,477.64x = 16,555,449.14
  5. Step 5: Solve for x
    x = 16,555,449.14/5,477.64
  6. Step 6: Final answer
    x = 3,022.37

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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.