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Finding the Fourth Proportional to 3,786.41, 5,680.22 and 1,321.58

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Solution

The fourth proportional to 3,786.41, 5,680.22 and 1,321.58 is: 1,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.41 : 5,680.22 = 1,321.58 : x
  2. Step 2: Convert to fraction form
    3,786.41/5,680.22 = 1,321.58/x
  3. Step 3: Cross multiply
    3,786.41x = 5,680.22 × 1,321.58
  4. Step 4: Simplify right side
    3,786.41x = 7,506,830.14
  5. Step 5: Solve for x
    x = 7,506,830.14/3,786.41
  6. Step 6: Final answer
    x = 1,982.57

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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.