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Finding the Fourth Proportional to 6,416.72, 8,855.81 and 3,622

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Solution

The fourth proportional to 6,416.72, 8,855.81 and 3,622 is: 4,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.72 : 8,855.81 = 3,622 : x
  2. Step 2: Convert to fraction form
    6,416.72/8,855.81 = 3,622/x
  3. Step 3: Cross multiply
    6,416.72x = 8,855.81 × 3,622
  4. Step 4: Simplify right side
    6,416.72x = 32,075,743.82
  5. Step 5: Solve for x
    x = 32,075,743.82/6,416.72
  6. Step 6: Final answer
    x = 4,998.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.