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Finding the Fourth Proportional to 6,090.80, 8,405.10 and 3,438.80

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Solution

The fourth proportional to 6,090.80, 8,405.10 and 3,438.80 is: 4,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.80 : 8,405.10 = 3,438.80 : x
  2. Step 2: Convert to fraction form
    6,090.80/8,405.10 = 3,438.80/x
  3. Step 3: Cross multiply
    6,090.80x = 8,405.10 × 3,438.80
  4. Step 4: Simplify right side
    6,090.80x = 28,903,457.88
  5. Step 5: Solve for x
    x = 28,903,457.88/6,090.80
  6. Step 6: Final answer
    x = 4,745.43

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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.