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Finding the Fourth Proportional to 4,149.70, 6,233.19 and 3,290.02

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Solution

The fourth proportional to 4,149.70, 6,233.19 and 3,290.02 is: 4,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.70 : 6,233.19 = 3,290.02 : x
  2. Step 2: Convert to fraction form
    4,149.70/6,233.19 = 3,290.02/x
  3. Step 3: Cross multiply
    4,149.70x = 6,233.19 × 3,290.02
  4. Step 4: Simplify right side
    4,149.70x = 20,507,319.76
  5. Step 5: Solve for x
    x = 20,507,319.76/4,149.70
  6. Step 6: Final answer
    x = 4,941.88

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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.