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Finding the Fourth Proportional to 2,975.94, 4,108.68 and 2,790

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Solution

The fourth proportional to 2,975.94, 4,108.68 and 2,790 is: 3,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.94 : 4,108.68 = 2,790 : x
  2. Step 2: Convert to fraction form
    2,975.94/4,108.68 = 2,790/x
  3. Step 3: Cross multiply
    2,975.94x = 4,108.68 × 2,790
  4. Step 4: Simplify right side
    2,975.94x = 11,463,217.20
  5. Step 5: Solve for x
    x = 11,463,217.20/2,975.94
  6. Step 6: Final answer
    x = 3,851.97

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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.