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Finding the Fourth Proportional to 6,406.56, 8,841.69 and 3,889.49

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Solution

The fourth proportional to 6,406.56, 8,841.69 and 3,889.49 is: 5,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.56 : 8,841.69 = 3,889.49 : x
  2. Step 2: Convert to fraction form
    6,406.56/8,841.69 = 3,889.49/x
  3. Step 3: Cross multiply
    6,406.56x = 8,841.69 × 3,889.49
  4. Step 4: Simplify right side
    6,406.56x = 34,389,620.63
  5. Step 5: Solve for x
    x = 34,389,620.63/6,406.56
  6. Step 6: Final answer
    x = 5,367.88

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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.