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Finding the Fourth Proportional to 3,049.65, 4,571.74 and 2,533.88

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Solution

The fourth proportional to 3,049.65, 4,571.74 and 2,533.88 is: 3,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.65 : 4,571.74 = 2,533.88 : x
  2. Step 2: Convert to fraction form
    3,049.65/4,571.74 = 2,533.88/x
  3. Step 3: Cross multiply
    3,049.65x = 4,571.74 × 2,533.88
  4. Step 4: Simplify right side
    3,049.65x = 11,584,255.15
  5. Step 5: Solve for x
    x = 11,584,255.15/3,049.65
  6. Step 6: Final answer
    x = 3,798.55

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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.