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Finding the Fourth Proportional to 4,764.99, 6,571.41 and 3,084.65

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Solution

The fourth proportional to 4,764.99, 6,571.41 and 3,084.65 is: 4,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.99 : 6,571.41 = 3,084.65 : x
  2. Step 2: Convert to fraction form
    4,764.99/6,571.41 = 3,084.65/x
  3. Step 3: Cross multiply
    4,764.99x = 6,571.41 × 3,084.65
  4. Step 4: Simplify right side
    4,764.99x = 20,270,480.07
  5. Step 5: Solve for x
    x = 20,270,480.07/4,764.99
  6. Step 6: Final answer
    x = 4,254.04

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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.