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Finding the Fourth Proportional to 4,204.68, 6,309.93 and 1,739.52

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Solution

The fourth proportional to 4,204.68, 6,309.93 and 1,739.52 is: 2,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.68 : 6,309.93 = 1,739.52 : x
  2. Step 2: Convert to fraction form
    4,204.68/6,309.93 = 1,739.52/x
  3. Step 3: Cross multiply
    4,204.68x = 6,309.93 × 1,739.52
  4. Step 4: Simplify right side
    4,204.68x = 10,976,249.43
  5. Step 5: Solve for x
    x = 10,976,249.43/4,204.68
  6. Step 6: Final answer
    x = 2,610.48

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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.