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Finding the Fourth Proportional to 5,786.10, 7,984.44 and 3,690

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Solution

The fourth proportional to 5,786.10, 7,984.44 and 3,690 is: 5,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.10 : 7,984.44 = 3,690 : x
  2. Step 2: Convert to fraction form
    5,786.10/7,984.44 = 3,690/x
  3. Step 3: Cross multiply
    5,786.10x = 7,984.44 × 3,690
  4. Step 4: Simplify right side
    5,786.10x = 29,462,583.60
  5. Step 5: Solve for x
    x = 29,462,583.60/5,786.10
  6. Step 6: Final answer
    x = 5,091.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.