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Finding the Fourth Proportional to 3,833.41, 5,745.24 and 1,984.18

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Solution

The fourth proportional to 3,833.41, 5,745.24 and 1,984.18 is: 2,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.41 : 5,745.24 = 1,984.18 : x
  2. Step 2: Convert to fraction form
    3,833.41/5,745.24 = 1,984.18/x
  3. Step 3: Cross multiply
    3,833.41x = 5,745.24 × 1,984.18
  4. Step 4: Simplify right side
    3,833.41x = 11,399,590.30
  5. Step 5: Solve for x
    x = 11,399,590.30/3,833.41
  6. Step 6: Final answer
    x = 2,973.75

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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.