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Finding the Fourth Proportional to 3,703.56, 5,577.23 and 3,222.42

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Solution

The fourth proportional to 3,703.56, 5,577.23 and 3,222.42 is: 4,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.56 : 5,577.23 = 3,222.42 : x
  2. Step 2: Convert to fraction form
    3,703.56/5,577.23 = 3,222.42/x
  3. Step 3: Cross multiply
    3,703.56x = 5,577.23 × 3,222.42
  4. Step 4: Simplify right side
    3,703.56x = 17,972,161.38
  5. Step 5: Solve for x
    x = 17,972,161.38/3,703.56
  6. Step 6: Final answer
    x = 4,852.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.