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Finding the Fourth Proportional to 4,183, 6,295.49 and 3,148.36

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Solution

The fourth proportional to 4,183, 6,295.49 and 3,148.36 is: 4,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183 : 6,295.49 = 3,148.36 : x
  2. Step 2: Convert to fraction form
    4,183/6,295.49 = 3,148.36/x
  3. Step 3: Cross multiply
    4,183x = 6,295.49 × 3,148.36
  4. Step 4: Simplify right side
    4,183x = 19,820,468.90
  5. Step 5: Solve for x
    x = 19,820,468.90/4,183
  6. Step 6: Final answer
    x = 4,738.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.