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Finding the Fourth Proportional to 3,786.46, 5,680.60 and 1,189.40

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Solution

The fourth proportional to 3,786.46, 5,680.60 and 1,189.40 is: 1,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.46 : 5,680.60 = 1,189.40 : x
  2. Step 2: Convert to fraction form
    3,786.46/5,680.60 = 1,189.40/x
  3. Step 3: Cross multiply
    3,786.46x = 5,680.60 × 1,189.40
  4. Step 4: Simplify right side
    3,786.46x = 6,756,477.24
  5. Step 5: Solve for x
    x = 6,756,477.24/3,786.46
  6. Step 6: Final answer
    x = 1,784.38

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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.