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Finding the Fourth Proportional to 5,125, 7,688.73 and 1,662.25

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Solution

The fourth proportional to 5,125, 7,688.73 and 1,662.25 is: 2,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125 : 7,688.73 = 1,662.25 : x
  2. Step 2: Convert to fraction form
    5,125/7,688.73 = 1,662.25/x
  3. Step 3: Cross multiply
    5,125x = 7,688.73 × 1,662.25
  4. Step 4: Simplify right side
    5,125x = 12,780,591.44
  5. Step 5: Solve for x
    x = 12,780,591.44/5,125
  6. Step 6: Final answer
    x = 2,493.77

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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.