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Finding the Fourth Proportional to 4,937.97, 6,814.37 and 2,699.84

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Solution

The fourth proportional to 4,937.97, 6,814.37 and 2,699.84 is: 3,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.97 : 6,814.37 = 2,699.84 : x
  2. Step 2: Convert to fraction form
    4,937.97/6,814.37 = 2,699.84/x
  3. Step 3: Cross multiply
    4,937.97x = 6,814.37 × 2,699.84
  4. Step 4: Simplify right side
    4,937.97x = 18,397,708.70
  5. Step 5: Solve for x
    x = 18,397,708.70/4,937.97
  6. Step 6: Final answer
    x = 3,725.76

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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.