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Finding the Fourth Proportional to 6,091.28, 8,405.89 and 3,438.74

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Solution

The fourth proportional to 6,091.28, 8,405.89 and 3,438.74 is: 4,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.28 : 8,405.89 = 3,438.74 : x
  2. Step 2: Convert to fraction form
    6,091.28/8,405.89 = 3,438.74/x
  3. Step 3: Cross multiply
    6,091.28x = 8,405.89 × 3,438.74
  4. Step 4: Simplify right side
    6,091.28x = 28,905,652.98
  5. Step 5: Solve for x
    x = 28,905,652.98/6,091.28
  6. Step 6: Final answer
    x = 4,745.42

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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.