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Finding the Fourth Proportional to 6,406.44, 8,840.88 and 3,611.92

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Solution

The fourth proportional to 6,406.44, 8,840.88 and 3,611.92 is: 4,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.44 : 8,840.88 = 3,611.92 : x
  2. Step 2: Convert to fraction form
    6,406.44/8,840.88 = 3,611.92/x
  3. Step 3: Cross multiply
    6,406.44x = 8,840.88 × 3,611.92
  4. Step 4: Simplify right side
    6,406.44x = 31,932,559.85
  5. Step 5: Solve for x
    x = 31,932,559.85/6,406.44
  6. Step 6: Final answer
    x = 4,984.44

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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.