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Finding the Fourth Proportional to 3,380.76, 5,071.14 and 1,189.08

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Solution

The fourth proportional to 3,380.76, 5,071.14 and 1,189.08 is: 1,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.76 : 5,071.14 = 1,189.08 : x
  2. Step 2: Convert to fraction form
    3,380.76/5,071.14 = 1,189.08/x
  3. Step 3: Cross multiply
    3,380.76x = 5,071.14 × 1,189.08
  4. Step 4: Simplify right side
    3,380.76x = 6,029,991.15
  5. Step 5: Solve for x
    x = 6,029,991.15/3,380.76
  6. Step 6: Final answer
    x = 1,783.62

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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.