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Finding the Fourth Proportional to 4,907.97, 6,771.81 and 3,114.79

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Solution

The fourth proportional to 4,907.97, 6,771.81 and 3,114.79 is: 4,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.97 : 6,771.81 = 3,114.79 : x
  2. Step 2: Convert to fraction form
    4,907.97/6,771.81 = 3,114.79/x
  3. Step 3: Cross multiply
    4,907.97x = 6,771.81 × 3,114.79
  4. Step 4: Simplify right side
    4,907.97x = 21,092,766.07
  5. Step 5: Solve for x
    x = 21,092,766.07/4,907.97
  6. Step 6: Final answer
    x = 4,297.66

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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.