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Finding the Fourth Proportional to 4,608.09, 6,907.82 and 1,684.13

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Solution

The fourth proportional to 4,608.09, 6,907.82 and 1,684.13 is: 2,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.09 : 6,907.82 = 1,684.13 : x
  2. Step 2: Convert to fraction form
    4,608.09/6,907.82 = 1,684.13/x
  3. Step 3: Cross multiply
    4,608.09x = 6,907.82 × 1,684.13
  4. Step 4: Simplify right side
    4,608.09x = 11,633,623.94
  5. Step 5: Solve for x
    x = 11,633,623.94/4,608.09
  6. Step 6: Final answer
    x = 2,524.61

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