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Finding the Fourth Proportional to 3,878.37, 5,358.42 and 2,704.68

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Solution

The fourth proportional to 3,878.37, 5,358.42 and 2,704.68 is: 3,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.37 : 5,358.42 = 2,704.68 : x
  2. Step 2: Convert to fraction form
    3,878.37/5,358.42 = 2,704.68/x
  3. Step 3: Cross multiply
    3,878.37x = 5,358.42 × 2,704.68
  4. Step 4: Simplify right side
    3,878.37x = 14,492,811.41
  5. Step 5: Solve for x
    x = 14,492,811.41/3,878.37
  6. Step 6: Final answer
    x = 3,736.83

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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.