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Finding the Fourth Proportional to 3,917.28, 5,875.94 and 995.59

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Solution

The fourth proportional to 3,917.28, 5,875.94 and 995.59 is: 1,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.28 : 5,875.94 = 995.59 : x
  2. Step 2: Convert to fraction form
    3,917.28/5,875.94 = 995.59/x
  3. Step 3: Cross multiply
    3,917.28x = 5,875.94 × 995.59
  4. Step 4: Simplify right side
    3,917.28x = 5,850,027.10
  5. Step 5: Solve for x
    x = 5,850,027.10/3,917.28
  6. Step 6: Final answer
    x = 1,493.39

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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.