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Finding the Fourth Proportional to 6,094.05, 8,406.69 and 3,703.39

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Solution

The fourth proportional to 6,094.05, 8,406.69 and 3,703.39 is: 5,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.05 : 8,406.69 = 3,703.39 : x
  2. Step 2: Convert to fraction form
    6,094.05/8,406.69 = 3,703.39/x
  3. Step 3: Cross multiply
    6,094.05x = 8,406.69 × 3,703.39
  4. Step 4: Simplify right side
    6,094.05x = 31,133,230.66
  5. Step 5: Solve for x
    x = 31,133,230.66/6,094.05
  6. Step 6: Final answer
    x = 5,108.79

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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.