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Finding the Fourth Proportional to 4,921.32, 7,382.06 and 1,999

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Solution

The fourth proportional to 4,921.32, 7,382.06 and 1,999 is: 2,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.32 : 7,382.06 = 1,999 : x
  2. Step 2: Convert to fraction form
    4,921.32/7,382.06 = 1,999/x
  3. Step 3: Cross multiply
    4,921.32x = 7,382.06 × 1,999
  4. Step 4: Simplify right side
    4,921.32x = 14,756,737.94
  5. Step 5: Solve for x
    x = 14,756,737.94/4,921.32
  6. Step 6: Final answer
    x = 2,998.53

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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.