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Finding the Fourth Proportional to 3,770.84, 5,202.34 and 2,778.49

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Solution

The fourth proportional to 3,770.84, 5,202.34 and 2,778.49 is: 3,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.84 : 5,202.34 = 2,778.49 : x
  2. Step 2: Convert to fraction form
    3,770.84/5,202.34 = 2,778.49/x
  3. Step 3: Cross multiply
    3,770.84x = 5,202.34 × 2,778.49
  4. Step 4: Simplify right side
    3,770.84x = 14,454,649.67
  5. Step 5: Solve for x
    x = 14,454,649.67/3,770.84
  6. Step 6: Final answer
    x = 3,833.27

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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.