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Finding the Fourth Proportional to 4,096, 6,114.56 and 3,512.32

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Solution

The fourth proportional to 4,096, 6,114.56 and 3,512.32 is: 5,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 6,114.56 = 3,512.32 : x
  2. Step 2: Convert to fraction form
    4,096/6,114.56 = 3,512.32/x
  3. Step 3: Cross multiply
    4,096x = 6,114.56 × 3,512.32
  4. Step 4: Simplify right side
    4,096x = 21,476,291.38
  5. Step 5: Solve for x
    x = 21,476,291.38/4,096
  6. Step 6: Final answer
    x = 5,243.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.