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Finding the Fourth Proportional to 4,561.94, 6,294 and 2,791.70

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Solution

The fourth proportional to 4,561.94, 6,294 and 2,791.70 is: 3,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.94 : 6,294 = 2,791.70 : x
  2. Step 2: Convert to fraction form
    4,561.94/6,294 = 2,791.70/x
  3. Step 3: Cross multiply
    4,561.94x = 6,294 × 2,791.70
  4. Step 4: Simplify right side
    4,561.94x = 17,570,959.80
  5. Step 5: Solve for x
    x = 17,570,959.80/4,561.94
  6. Step 6: Final answer
    x = 3,851.64

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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.