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Finding the Fourth Proportional to 6,133, 8,463.78 and 3,650.44

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Solution

The fourth proportional to 6,133, 8,463.78 and 3,650.44 is: 5,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133 : 8,463.78 = 3,650.44 : x
  2. Step 2: Convert to fraction form
    6,133/8,463.78 = 3,650.44/x
  3. Step 3: Cross multiply
    6,133x = 8,463.78 × 3,650.44
  4. Step 4: Simplify right side
    6,133x = 30,896,521.06
  5. Step 5: Solve for x
    x = 30,896,521.06/6,133
  6. Step 6: Final answer
    x = 5,037.75

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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.