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Finding the Fourth Proportional to 6,406.41, 8,840.84 and 3,611.91

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Solution

The fourth proportional to 6,406.41, 8,840.84 and 3,611.91 is: 4,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.41 : 8,840.84 = 3,611.91 : x
  2. Step 2: Convert to fraction form
    6,406.41/8,840.84 = 3,611.91/x
  3. Step 3: Cross multiply
    6,406.41x = 8,840.84 × 3,611.91
  4. Step 4: Simplify right side
    6,406.41x = 31,932,294.28
  5. Step 5: Solve for x
    x = 31,932,294.28/6,406.41
  6. Step 6: Final answer
    x = 4,984.43

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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.