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Finding the Fourth Proportional to 4,817.25, 7,226.96 and 1,739.25

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Solution

The fourth proportional to 4,817.25, 7,226.96 and 1,739.25 is: 2,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.25 : 7,226.96 = 1,739.25 : x
  2. Step 2: Convert to fraction form
    4,817.25/7,226.96 = 1,739.25/x
  3. Step 3: Cross multiply
    4,817.25x = 7,226.96 × 1,739.25
  4. Step 4: Simplify right side
    4,817.25x = 12,569,481.48
  5. Step 5: Solve for x
    x = 12,569,481.48/4,817.25
  6. Step 6: Final answer
    x = 2,609.26

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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.