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Finding the Fourth Proportional to 6,153.63, 8,491.84 and 3,764.53

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Solution

The fourth proportional to 6,153.63, 8,491.84 and 3,764.53 is: 5,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.63 : 8,491.84 = 3,764.53 : x
  2. Step 2: Convert to fraction form
    6,153.63/8,491.84 = 3,764.53/x
  3. Step 3: Cross multiply
    6,153.63x = 8,491.84 × 3,764.53
  4. Step 4: Simplify right side
    6,153.63x = 31,967,786.44
  5. Step 5: Solve for x
    x = 31,967,786.44/6,153.63
  6. Step 6: Final answer
    x = 5,194.95

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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.