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Finding the Fourth Proportional to 5,906, 8,859.84 and 2,009.36

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Solution

The fourth proportional to 5,906, 8,859.84 and 2,009.36 is: 3,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,859.84 = 2,009.36 : x
  2. Step 2: Convert to fraction form
    5,906/8,859.84 = 2,009.36/x
  3. Step 3: Cross multiply
    5,906x = 8,859.84 × 2,009.36
  4. Step 4: Simplify right side
    5,906x = 17,802,608.10
  5. Step 5: Solve for x
    x = 17,802,608.10/5,906
  6. Step 6: Final answer
    x = 3,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.