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Finding the Fourth Proportional to 3,416.38, 4,704.69 and 2,968.05

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Solution

The fourth proportional to 3,416.38, 4,704.69 and 2,968.05 is: 4,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.38 : 4,704.69 = 2,968.05 : x
  2. Step 2: Convert to fraction form
    3,416.38/4,704.69 = 2,968.05/x
  3. Step 3: Cross multiply
    3,416.38x = 4,704.69 × 2,968.05
  4. Step 4: Simplify right side
    3,416.38x = 13,963,755.15
  5. Step 5: Solve for x
    x = 13,963,755.15/3,416.38
  6. Step 6: Final answer
    x = 4,087.30

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Why These Related Problems?

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