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Finding the Fourth Proportional to 3,512, 4,846.56 and 2,114.48

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Solution

The fourth proportional to 3,512, 4,846.56 and 2,114.48 is: 2,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512 : 4,846.56 = 2,114.48 : x
  2. Step 2: Convert to fraction form
    3,512/4,846.56 = 2,114.48/x
  3. Step 3: Cross multiply
    3,512x = 4,846.56 × 2,114.48
  4. Step 4: Simplify right side
    3,512x = 10,247,954.19
  5. Step 5: Solve for x
    x = 10,247,954.19/3,512
  6. Step 6: Final answer
    x = 2,917.98

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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.