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Finding the Fourth Proportional to 3,783.80, 5,221.80 and 2,290.88

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Solution

The fourth proportional to 3,783.80, 5,221.80 and 2,290.88 is: 3,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.80 : 5,221.80 = 2,290.88 : x
  2. Step 2: Convert to fraction form
    3,783.80/5,221.80 = 2,290.88/x
  3. Step 3: Cross multiply
    3,783.80x = 5,221.80 × 2,290.88
  4. Step 4: Simplify right side
    3,783.80x = 11,962,479.62
  5. Step 5: Solve for x
    x = 11,962,479.62/3,783.80
  6. Step 6: Final answer
    x = 3,161.50

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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.