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Finding the Fourth Proportional to 5,086.42, 7,629.64 and 1,797.42

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Solution

The fourth proportional to 5,086.42, 7,629.64 and 1,797.42 is: 2,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.42 : 7,629.64 = 1,797.42 : x
  2. Step 2: Convert to fraction form
    5,086.42/7,629.64 = 1,797.42/x
  3. Step 3: Cross multiply
    5,086.42x = 7,629.64 × 1,797.42
  4. Step 4: Simplify right side
    5,086.42x = 13,713,667.53
  5. Step 5: Solve for x
    x = 13,713,667.53/5,086.42
  6. Step 6: Final answer
    x = 2,696.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.