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Finding the Fourth Proportional to 6,091.23, 8,405.90 and 3,438.64

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Solution

The fourth proportional to 6,091.23, 8,405.90 and 3,438.64 is: 4,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.23 : 8,405.90 = 3,438.64 : x
  2. Step 2: Convert to fraction form
    6,091.23/8,405.90 = 3,438.64/x
  3. Step 3: Cross multiply
    6,091.23x = 8,405.90 × 3,438.64
  4. Step 4: Simplify right side
    6,091.23x = 28,904,863.98
  5. Step 5: Solve for x
    x = 28,904,863.98/6,091.23
  6. Step 6: Final answer
    x = 4,745.32

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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.