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Finding the Fourth Proportional to 3,415.44, 5,123.40 and 1,163.06

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Solution

The fourth proportional to 3,415.44, 5,123.40 and 1,163.06 is: 1,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.44 : 5,123.40 = 1,163.06 : x
  2. Step 2: Convert to fraction form
    3,415.44/5,123.40 = 1,163.06/x
  3. Step 3: Cross multiply
    3,415.44x = 5,123.40 × 1,163.06
  4. Step 4: Simplify right side
    3,415.44x = 5,958,821.60
  5. Step 5: Solve for x
    x = 5,958,821.60/3,415.44
  6. Step 6: Final answer
    x = 1,744.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.