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Finding the Fourth Proportional to 6,406.26, 8,840.64 and 3,611.76

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Solution

The fourth proportional to 6,406.26, 8,840.64 and 3,611.76 is: 4,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.26 : 8,840.64 = 3,611.76 : x
  2. Step 2: Convert to fraction form
    6,406.26/8,840.64 = 3,611.76/x
  3. Step 3: Cross multiply
    6,406.26x = 8,840.64 × 3,611.76
  4. Step 4: Simplify right side
    6,406.26x = 31,930,269.93
  5. Step 5: Solve for x
    x = 31,930,269.93/6,406.26
  6. Step 6: Final answer
    x = 4,984.23

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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.