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Finding the Fourth Proportional to 3,380.56, 5,069.48 and 1,188.77

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Solution

The fourth proportional to 3,380.56, 5,069.48 and 1,188.77 is: 1,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.56 : 5,069.48 = 1,188.77 : x
  2. Step 2: Convert to fraction form
    3,380.56/5,069.48 = 1,188.77/x
  3. Step 3: Cross multiply
    3,380.56x = 5,069.48 × 1,188.77
  4. Step 4: Simplify right side
    3,380.56x = 6,026,414.45
  5. Step 5: Solve for x
    x = 6,026,414.45/3,380.56
  6. Step 6: Final answer
    x = 1,782.67

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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.