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Finding the Fourth Proportional to 4,608.47, 6,912.72 and 1,685.18

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Solution

The fourth proportional to 4,608.47, 6,912.72 and 1,685.18 is: 2,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.47 : 6,912.72 = 1,685.18 : x
  2. Step 2: Convert to fraction form
    4,608.47/6,912.72 = 1,685.18/x
  3. Step 3: Cross multiply
    4,608.47x = 6,912.72 × 1,685.18
  4. Step 4: Simplify right side
    4,608.47x = 11,649,194.77
  5. Step 5: Solve for x
    x = 11,649,194.77/4,608.47
  6. Step 6: Final answer
    x = 2,527.78

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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.