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Finding the Fourth Proportional to 3,380.56, 5,071.14 and 1,189.91

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Solution

The fourth proportional to 3,380.56, 5,071.14 and 1,189.91 is: 1,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.56 : 5,071.14 = 1,189.91 : x
  2. Step 2: Convert to fraction form
    3,380.56/5,071.14 = 1,189.91/x
  3. Step 3: Cross multiply
    3,380.56x = 5,071.14 × 1,189.91
  4. Step 4: Simplify right side
    3,380.56x = 6,034,212.88
  5. Step 5: Solve for x
    x = 6,034,212.88/3,380.56
  6. Step 6: Final answer
    x = 1,784.98

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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.