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Finding the Fourth Proportional to 6,094.36, 8,410.26 and 3,576.34

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Solution

The fourth proportional to 6,094.36, 8,410.26 and 3,576.34 is: 4,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.36 : 8,410.26 = 3,576.34 : x
  2. Step 2: Convert to fraction form
    6,094.36/8,410.26 = 3,576.34/x
  3. Step 3: Cross multiply
    6,094.36x = 8,410.26 × 3,576.34
  4. Step 4: Simplify right side
    6,094.36x = 30,077,949.25
  5. Step 5: Solve for x
    x = 30,077,949.25/6,094.36
  6. Step 6: Final answer
    x = 4,935.37

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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.