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Finding the Fourth Proportional to 3,406.74, 5,109.39 and 1,739.22

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Solution

The fourth proportional to 3,406.74, 5,109.39 and 1,739.22 is: 2,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.74 : 5,109.39 = 1,739.22 : x
  2. Step 2: Convert to fraction form
    3,406.74/5,109.39 = 1,739.22/x
  3. Step 3: Cross multiply
    3,406.74x = 5,109.39 × 1,739.22
  4. Step 4: Simplify right side
    3,406.74x = 8,886,353.28
  5. Step 5: Solve for x
    x = 8,886,353.28/3,406.74
  6. Step 6: Final answer
    x = 2,608.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.