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Finding the Fourth Proportional to 5,093.96, 7,641.82 and 1,631

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Solution

The fourth proportional to 5,093.96, 7,641.82 and 1,631 is: 2,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.96 : 7,641.82 = 1,631 : x
  2. Step 2: Convert to fraction form
    5,093.96/7,641.82 = 1,631/x
  3. Step 3: Cross multiply
    5,093.96x = 7,641.82 × 1,631
  4. Step 4: Simplify right side
    5,093.96x = 12,463,808.42
  5. Step 5: Solve for x
    x = 12,463,808.42/5,093.96
  6. Step 6: Final answer
    x = 2,446.78

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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.