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Finding the Fourth Proportional to 6,091.87, 8,406.72 and 3,440.14

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Solution

The fourth proportional to 6,091.87, 8,406.72 and 3,440.14 is: 4,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.87 : 8,406.72 = 3,440.14 : x
  2. Step 2: Convert to fraction form
    6,091.87/8,406.72 = 3,440.14/x
  3. Step 3: Cross multiply
    6,091.87x = 8,406.72 × 3,440.14
  4. Step 4: Simplify right side
    6,091.87x = 28,920,293.74
  5. Step 5: Solve for x
    x = 28,920,293.74/6,091.87
  6. Step 6: Final answer
    x = 4,747.36

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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.