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Finding the Fourth Proportional to 5,674.93, 7,832.36 and 3,284.97

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Solution

The fourth proportional to 5,674.93, 7,832.36 and 3,284.97 is: 4,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.93 : 7,832.36 = 3,284.97 : x
  2. Step 2: Convert to fraction form
    5,674.93/7,832.36 = 3,284.97/x
  3. Step 3: Cross multiply
    5,674.93x = 7,832.36 × 3,284.97
  4. Step 4: Simplify right side
    5,674.93x = 25,729,034.15
  5. Step 5: Solve for x
    x = 25,729,034.15/5,674.93
  6. Step 6: Final answer
    x = 4,533.81

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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.