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Finding the Fourth Proportional to 5,118.70, 7,677.80 and 1,608.62

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Solution

The fourth proportional to 5,118.70, 7,677.80 and 1,608.62 is: 2,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.70 : 7,677.80 = 1,608.62 : x
  2. Step 2: Convert to fraction form
    5,118.70/7,677.80 = 1,608.62/x
  3. Step 3: Cross multiply
    5,118.70x = 7,677.80 × 1,608.62
  4. Step 4: Simplify right side
    5,118.70x = 12,350,662.64
  5. Step 5: Solve for x
    x = 12,350,662.64/5,118.70
  6. Step 6: Final answer
    x = 2,412.85

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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.