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Finding the Fourth Proportional to 6,091.88, 8,406.36 and 3,438.77

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Solution

The fourth proportional to 6,091.88, 8,406.36 and 3,438.77 is: 4,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.88 : 8,406.36 = 3,438.77 : x
  2. Step 2: Convert to fraction form
    6,091.88/8,406.36 = 3,438.77/x
  3. Step 3: Cross multiply
    6,091.88x = 8,406.36 × 3,438.77
  4. Step 4: Simplify right side
    6,091.88x = 28,907,496.55
  5. Step 5: Solve for x
    x = 28,907,496.55/6,091.88
  6. Step 6: Final answer
    x = 4,745.25

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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.