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Finding the Fourth Proportional to 4,921.64, 7,382.44 and 1,999.92

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Solution

The fourth proportional to 4,921.64, 7,382.44 and 1,999.92 is: 2,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.64 : 7,382.44 = 1,999.92 : x
  2. Step 2: Convert to fraction form
    4,921.64/7,382.44 = 1,999.92/x
  3. Step 3: Cross multiply
    4,921.64x = 7,382.44 × 1,999.92
  4. Step 4: Simplify right side
    4,921.64x = 14,764,289.40
  5. Step 5: Solve for x
    x = 14,764,289.40/4,921.64
  6. Step 6: Final answer
    x = 2,999.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.