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Finding the Fourth Proportional to 3,783.58, 5,220.57 and 2,211.37

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Solution

The fourth proportional to 3,783.58, 5,220.57 and 2,211.37 is: 3,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.58 : 5,220.57 = 2,211.37 : x
  2. Step 2: Convert to fraction form
    3,783.58/5,220.57 = 2,211.37/x
  3. Step 3: Cross multiply
    3,783.58x = 5,220.57 × 2,211.37
  4. Step 4: Simplify right side
    3,783.58x = 11,544,611.88
  5. Step 5: Solve for x
    x = 11,544,611.88/3,783.58
  6. Step 6: Final answer
    x = 3,051.24

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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.