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Finding the Fourth Proportional to 4,608.81, 6,914.07 and 2,527.68

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Solution

The fourth proportional to 4,608.81, 6,914.07 and 2,527.68 is: 3,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.81 : 6,914.07 = 2,527.68 : x
  2. Step 2: Convert to fraction form
    4,608.81/6,914.07 = 2,527.68/x
  3. Step 3: Cross multiply
    4,608.81x = 6,914.07 × 2,527.68
  4. Step 4: Simplify right side
    4,608.81x = 17,476,556.46
  5. Step 5: Solve for x
    x = 17,476,556.46/4,608.81
  6. Step 6: Final answer
    x = 3,791.99

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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.