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Finding the Fourth Proportional to 6,091.18, 8,406.09 and 3,438.58

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Solution

The fourth proportional to 6,091.18, 8,406.09 and 3,438.58 is: 4,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.18 : 8,406.09 = 3,438.58 : x
  2. Step 2: Convert to fraction form
    6,091.18/8,406.09 = 3,438.58/x
  3. Step 3: Cross multiply
    6,091.18x = 8,406.09 × 3,438.58
  4. Step 4: Simplify right side
    6,091.18x = 28,905,012.95
  5. Step 5: Solve for x
    x = 28,905,012.95/6,091.18
  6. Step 6: Final answer
    x = 4,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.