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Finding the Fourth Proportional to 4,622.68, 6,379.74 and 2,855.32

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Solution

The fourth proportional to 4,622.68, 6,379.74 and 2,855.32 is: 3,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.68 : 6,379.74 = 2,855.32 : x
  2. Step 2: Convert to fraction form
    4,622.68/6,379.74 = 2,855.32/x
  3. Step 3: Cross multiply
    4,622.68x = 6,379.74 × 2,855.32
  4. Step 4: Simplify right side
    4,622.68x = 18,216,199.22
  5. Step 5: Solve for x
    x = 18,216,199.22/4,622.68
  6. Step 6: Final answer
    x = 3,940.61

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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.