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Finding the Fourth Proportional to 6,090.87, 8,405.34 and 3,439.14

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Solution

The fourth proportional to 6,090.87, 8,405.34 and 3,439.14 is: 4,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.87 : 8,405.34 = 3,439.14 : x
  2. Step 2: Convert to fraction form
    6,090.87/8,405.34 = 3,439.14/x
  3. Step 3: Cross multiply
    6,090.87x = 8,405.34 × 3,439.14
  4. Step 4: Simplify right side
    6,090.87x = 28,907,141.01
  5. Step 5: Solve for x
    x = 28,907,141.01/6,090.87
  6. Step 6: Final answer
    x = 4,745.98

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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.