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Finding the Fourth Proportional to 3,835.44, 5,751.32 and 1,754.84

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Solution

The fourth proportional to 3,835.44, 5,751.32 and 1,754.84 is: 2,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.44 : 5,751.32 = 1,754.84 : x
  2. Step 2: Convert to fraction form
    3,835.44/5,751.32 = 1,754.84/x
  3. Step 3: Cross multiply
    3,835.44x = 5,751.32 × 1,754.84
  4. Step 4: Simplify right side
    3,835.44x = 10,092,646.39
  5. Step 5: Solve for x
    x = 10,092,646.39/3,835.44
  6. Step 6: Final answer
    x = 2,631.42

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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.