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Finding the Fourth Proportional to 4,019.80, 6,029.70 and 3,290.20

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Solution

The fourth proportional to 4,019.80, 6,029.70 and 3,290.20 is: 4,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.80 : 6,029.70 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    4,019.80/6,029.70 = 3,290.20/x
  3. Step 3: Cross multiply
    4,019.80x = 6,029.70 × 3,290.20
  4. Step 4: Simplify right side
    4,019.80x = 19,838,918.94
  5. Step 5: Solve for x
    x = 19,838,918.94/4,019.80
  6. Step 6: Final answer
    x = 4,935.30

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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.