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Finding the Fourth Proportional to 3,434.50, 4,736.16 and 3,055.21

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Solution

The fourth proportional to 3,434.50, 4,736.16 and 3,055.21 is: 4,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.50 : 4,736.16 = 3,055.21 : x
  2. Step 2: Convert to fraction form
    3,434.50/4,736.16 = 3,055.21/x
  3. Step 3: Cross multiply
    3,434.50x = 4,736.16 × 3,055.21
  4. Step 4: Simplify right side
    3,434.50x = 14,469,963.39
  5. Step 5: Solve for x
    x = 14,469,963.39/3,434.50
  6. Step 6: Final answer
    x = 4,213.12

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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.