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Finding the Fourth Proportional to 4,206.45, 6,310.44 and 1,739.93

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Solution

The fourth proportional to 4,206.45, 6,310.44 and 1,739.93 is: 2,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.45 : 6,310.44 = 1,739.93 : x
  2. Step 2: Convert to fraction form
    4,206.45/6,310.44 = 1,739.93/x
  3. Step 3: Cross multiply
    4,206.45x = 6,310.44 × 1,739.93
  4. Step 4: Simplify right side
    4,206.45x = 10,979,723.87
  5. Step 5: Solve for x
    x = 10,979,723.87/4,206.45
  6. Step 6: Final answer
    x = 2,610.21

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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.