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Finding the Fourth Proportional to 3,770.61, 5,203.57 and 2,824.73

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Solution

The fourth proportional to 3,770.61, 5,203.57 and 2,824.73 is: 3,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.61 : 5,203.57 = 2,824.73 : x
  2. Step 2: Convert to fraction form
    3,770.61/5,203.57 = 2,824.73/x
  3. Step 3: Cross multiply
    3,770.61x = 5,203.57 × 2,824.73
  4. Step 4: Simplify right side
    3,770.61x = 14,698,680.29
  5. Step 5: Solve for x
    x = 14,698,680.29/3,770.61
  6. Step 6: Final answer
    x = 3,898.22

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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.