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Finding the Fourth Proportional to 4,009.09, 5,532.84 and 2,308.12

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Solution

The fourth proportional to 4,009.09, 5,532.84 and 2,308.12 is: 3,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.09 : 5,532.84 = 2,308.12 : x
  2. Step 2: Convert to fraction form
    4,009.09/5,532.84 = 2,308.12/x
  3. Step 3: Cross multiply
    4,009.09x = 5,532.84 × 2,308.12
  4. Step 4: Simplify right side
    4,009.09x = 12,770,458.66
  5. Step 5: Solve for x
    x = 12,770,458.66/4,009.09
  6. Step 6: Final answer
    x = 3,185.38

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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.