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Finding the Fourth Proportional to 2,914.88, 3,986.94 and 2,869.52

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Solution

The fourth proportional to 2,914.88, 3,986.94 and 2,869.52 is: 3,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.88 : 3,986.94 = 2,869.52 : x
  2. Step 2: Convert to fraction form
    2,914.88/3,986.94 = 2,869.52/x
  3. Step 3: Cross multiply
    2,914.88x = 3,986.94 × 2,869.52
  4. Step 4: Simplify right side
    2,914.88x = 11,440,604.07
  5. Step 5: Solve for x
    x = 11,440,604.07/2,914.88
  6. Step 6: Final answer
    x = 3,924.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.