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Finding the Fourth Proportional to 4,893.96, 7,341.02 and 1,196.27

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Solution

The fourth proportional to 4,893.96, 7,341.02 and 1,196.27 is: 1,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.96 : 7,341.02 = 1,196.27 : x
  2. Step 2: Convert to fraction form
    4,893.96/7,341.02 = 1,196.27/x
  3. Step 3: Cross multiply
    4,893.96x = 7,341.02 × 1,196.27
  4. Step 4: Simplify right side
    4,893.96x = 8,781,842.00
  5. Step 5: Solve for x
    x = 8,781,842.00/4,893.96
  6. Step 6: Final answer
    x = 1,794.42

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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.