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Finding the Fourth Proportional to 6,029.80, 9,046.30 and 2,133.80

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Solution

The fourth proportional to 6,029.80, 9,046.30 and 2,133.80 is: 3,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.80 : 9,046.30 = 2,133.80 : x
  2. Step 2: Convert to fraction form
    6,029.80/9,046.30 = 2,133.80/x
  3. Step 3: Cross multiply
    6,029.80x = 9,046.30 × 2,133.80
  4. Step 4: Simplify right side
    6,029.80x = 19,302,994.94
  5. Step 5: Solve for x
    x = 19,302,994.94/6,029.80
  6. Step 6: Final answer
    x = 3,201.27

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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.