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Finding the Fourth Proportional to 3,335.96, 5,004.24 and 995.92

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Solution

The fourth proportional to 3,335.96, 5,004.24 and 995.92 is: 1,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.96 : 5,004.24 = 995.92 : x
  2. Step 2: Convert to fraction form
    3,335.96/5,004.24 = 995.92/x
  3. Step 3: Cross multiply
    3,335.96x = 5,004.24 × 995.92
  4. Step 4: Simplify right side
    3,335.96x = 4,983,822.70
  5. Step 5: Solve for x
    x = 4,983,822.70/3,335.96
  6. Step 6: Final answer
    x = 1,493.97

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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.