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Finding the Fourth Proportional to 6,090.94, 8,405.46 and 3,438.28

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Solution

The fourth proportional to 6,090.94, 8,405.46 and 3,438.28 is: 4,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.94 : 8,405.46 = 3,438.28 : x
  2. Step 2: Convert to fraction form
    6,090.94/8,405.46 = 3,438.28/x
  3. Step 3: Cross multiply
    6,090.94x = 8,405.46 × 3,438.28
  4. Step 4: Simplify right side
    6,090.94x = 28,900,325.01
  5. Step 5: Solve for x
    x = 28,900,325.01/6,090.94
  6. Step 6: Final answer
    x = 4,744.81

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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.