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Finding the Fourth Proportional to 4,884.65, 7,327.32 and 1,962.96

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Solution

The fourth proportional to 4,884.65, 7,327.32 and 1,962.96 is: 2,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.65 : 7,327.32 = 1,962.96 : x
  2. Step 2: Convert to fraction form
    4,884.65/7,327.32 = 1,962.96/x
  3. Step 3: Cross multiply
    4,884.65x = 7,327.32 × 1,962.96
  4. Step 4: Simplify right side
    4,884.65x = 14,383,201.23
  5. Step 5: Solve for x
    x = 14,383,201.23/4,884.65
  6. Step 6: Final answer
    x = 2,944.57

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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.