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Finding the Fourth Proportional to 3,763.88, 5,194.33 and 2,271.77

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Solution

The fourth proportional to 3,763.88, 5,194.33 and 2,271.77 is: 3,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.88 : 5,194.33 = 2,271.77 : x
  2. Step 2: Convert to fraction form
    3,763.88/5,194.33 = 2,271.77/x
  3. Step 3: Cross multiply
    3,763.88x = 5,194.33 × 2,271.77
  4. Step 4: Simplify right side
    3,763.88x = 11,800,297.09
  5. Step 5: Solve for x
    x = 11,800,297.09/3,763.88
  6. Step 6: Final answer
    x = 3,135.15

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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.