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Finding the Fourth Proportional to 4,477.82, 6,185.19 and 3,409.09

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Solution

The fourth proportional to 4,477.82, 6,185.19 and 3,409.09 is: 4,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.82 : 6,185.19 = 3,409.09 : x
  2. Step 2: Convert to fraction form
    4,477.82/6,185.19 = 3,409.09/x
  3. Step 3: Cross multiply
    4,477.82x = 6,185.19 × 3,409.09
  4. Step 4: Simplify right side
    4,477.82x = 21,085,869.38
  5. Step 5: Solve for x
    x = 21,085,869.38/4,477.82
  6. Step 6: Final answer
    x = 4,708.96

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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.