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Finding the Fourth Proportional to 5,785.94, 7,986.68 and 3,797.12

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Solution

The fourth proportional to 5,785.94, 7,986.68 and 3,797.12 is: 5,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.94 : 7,986.68 = 3,797.12 : x
  2. Step 2: Convert to fraction form
    5,785.94/7,986.68 = 3,797.12/x
  3. Step 3: Cross multiply
    5,785.94x = 7,986.68 × 3,797.12
  4. Step 4: Simplify right side
    5,785.94x = 30,326,382.36
  5. Step 5: Solve for x
    x = 30,326,382.36/5,785.94
  6. Step 6: Final answer
    x = 5,241.39

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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.