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Finding the Fourth Proportional to 6,730.40, 10,090.80 and 3,029.60

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Solution

The fourth proportional to 6,730.40, 10,090.80 and 3,029.60 is: 4,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.40 : 10,090.80 = 3,029.60 : x
  2. Step 2: Convert to fraction form
    6,730.40/10,090.80 = 3,029.60/x
  3. Step 3: Cross multiply
    6,730.40x = 10,090.80 × 3,029.60
  4. Step 4: Simplify right side
    6,730.40x = 30,571,087.68
  5. Step 5: Solve for x
    x = 30,571,087.68/6,730.40
  6. Step 6: Final answer
    x = 4,542.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.