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Finding the Fourth Proportional to 6,091.74, 8,406.44 and 3,439

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Solution

The fourth proportional to 6,091.74, 8,406.44 and 3,439 is: 4,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.74 : 8,406.44 = 3,439 : x
  2. Step 2: Convert to fraction form
    6,091.74/8,406.44 = 3,439/x
  3. Step 3: Cross multiply
    6,091.74x = 8,406.44 × 3,439
  4. Step 4: Simplify right side
    6,091.74x = 28,909,747.16
  5. Step 5: Solve for x
    x = 28,909,747.16/6,091.74
  6. Step 6: Final answer
    x = 4,745.73

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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.