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Finding the Fourth Proportional to 3,832.64, 5,749.44 and 1,235.84

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Solution

The fourth proportional to 3,832.64, 5,749.44 and 1,235.84 is: 1,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.64 : 5,749.44 = 1,235.84 : x
  2. Step 2: Convert to fraction form
    3,832.64/5,749.44 = 1,235.84/x
  3. Step 3: Cross multiply
    3,832.64x = 5,749.44 × 1,235.84
  4. Step 4: Simplify right side
    3,832.64x = 7,105,387.93
  5. Step 5: Solve for x
    x = 7,105,387.93/3,832.64
  6. Step 6: Final answer
    x = 1,853.91

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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.