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Finding the Fourth Proportional to 4,556.66, 6,834.78 and 1,923.08

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Solution

The fourth proportional to 4,556.66, 6,834.78 and 1,923.08 is: 2,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.66 : 6,834.78 = 1,923.08 : x
  2. Step 2: Convert to fraction form
    4,556.66/6,834.78 = 1,923.08/x
  3. Step 3: Cross multiply
    4,556.66x = 6,834.78 × 1,923.08
  4. Step 4: Simplify right side
    4,556.66x = 13,143,794.55
  5. Step 5: Solve for x
    x = 13,143,794.55/4,556.66
  6. Step 6: Final answer
    x = 2,884.53

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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.