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Finding the Fourth Proportional to 3,847.33, 5,768.26 and 1,973.78

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Solution

The fourth proportional to 3,847.33, 5,768.26 and 1,973.78 is: 2,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.33 : 5,768.26 = 1,973.78 : x
  2. Step 2: Convert to fraction form
    3,847.33/5,768.26 = 1,973.78/x
  3. Step 3: Cross multiply
    3,847.33x = 5,768.26 × 1,973.78
  4. Step 4: Simplify right side
    3,847.33x = 11,385,280.77
  5. Step 5: Solve for x
    x = 11,385,280.77/3,847.33
  6. Step 6: Final answer
    x = 2,959.27

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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.