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Finding the Fourth Proportional to 4,149.36, 5,720.02 and 2,968.38

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Solution

The fourth proportional to 4,149.36, 5,720.02 and 2,968.38 is: 4,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.36 : 5,720.02 = 2,968.38 : x
  2. Step 2: Convert to fraction form
    4,149.36/5,720.02 = 2,968.38/x
  3. Step 3: Cross multiply
    4,149.36x = 5,720.02 × 2,968.38
  4. Step 4: Simplify right side
    4,149.36x = 16,979,185.55
  5. Step 5: Solve for x
    x = 16,979,185.55/4,149.36
  6. Step 6: Final answer
    x = 4,092.00

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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.