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Finding the Fourth Proportional to 5,125.17, 7,687.67 and 1,662.42

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Solution

The fourth proportional to 5,125.17, 7,687.67 and 1,662.42 is: 2,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.17 : 7,687.67 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    5,125.17/7,687.67 = 1,662.42/x
  3. Step 3: Cross multiply
    5,125.17x = 7,687.67 × 1,662.42
  4. Step 4: Simplify right side
    5,125.17x = 12,780,128.05
  5. Step 5: Solve for x
    x = 12,780,128.05/5,125.17
  6. Step 6: Final answer
    x = 2,493.60

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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.