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Finding the Fourth Proportional to 4,571.65, 6,843.57 and 2,929.33

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Solution

The fourth proportional to 4,571.65, 6,843.57 and 2,929.33 is: 4,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.65 : 6,843.57 = 2,929.33 : x
  2. Step 2: Convert to fraction form
    4,571.65/6,843.57 = 2,929.33/x
  3. Step 3: Cross multiply
    4,571.65x = 6,843.57 × 2,929.33
  4. Step 4: Simplify right side
    4,571.65x = 20,047,074.91
  5. Step 5: Solve for x
    x = 20,047,074.91/4,571.65
  6. Step 6: Final answer
    x = 4,385.09

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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.