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Finding the Fourth Proportional to 5,944.68, 8,203.67 and 3,705.23

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Solution

The fourth proportional to 5,944.68, 8,203.67 and 3,705.23 is: 5,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.68 : 8,203.67 = 3,705.23 : x
  2. Step 2: Convert to fraction form
    5,944.68/8,203.67 = 3,705.23/x
  3. Step 3: Cross multiply
    5,944.68x = 8,203.67 × 3,705.23
  4. Step 4: Simplify right side
    5,944.68x = 30,396,424.65
  5. Step 5: Solve for x
    x = 30,396,424.65/5,944.68
  6. Step 6: Final answer
    x = 5,113.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.