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Finding the Fourth Proportional to 5,118.78, 7,677.60 and 1,608.65

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Solution

The fourth proportional to 5,118.78, 7,677.60 and 1,608.65 is: 2,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.78 : 7,677.60 = 1,608.65 : x
  2. Step 2: Convert to fraction form
    5,118.78/7,677.60 = 1,608.65/x
  3. Step 3: Cross multiply
    5,118.78x = 7,677.60 × 1,608.65
  4. Step 4: Simplify right side
    5,118.78x = 12,350,571.24
  5. Step 5: Solve for x
    x = 12,350,571.24/5,118.78
  6. Step 6: Final answer
    x = 2,412.80

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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.