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Finding the Fourth Proportional to 6,181.61, 8,529.27 and 3,662.46

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Solution

The fourth proportional to 6,181.61, 8,529.27 and 3,662.46 is: 5,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.61 : 8,529.27 = 3,662.46 : x
  2. Step 2: Convert to fraction form
    6,181.61/8,529.27 = 3,662.46/x
  3. Step 3: Cross multiply
    6,181.61x = 8,529.27 × 3,662.46
  4. Step 4: Simplify right side
    6,181.61x = 31,238,064.49
  5. Step 5: Solve for x
    x = 31,238,064.49/6,181.61
  6. Step 6: Final answer
    x = 5,053.39

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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.