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Finding the Fourth Proportional to 3,461.11, 5,190.89 and 995.38

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Solution

The fourth proportional to 3,461.11, 5,190.89 and 995.38 is: 1,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.11 : 5,190.89 = 995.38 : x
  2. Step 2: Convert to fraction form
    3,461.11/5,190.89 = 995.38/x
  3. Step 3: Cross multiply
    3,461.11x = 5,190.89 × 995.38
  4. Step 4: Simplify right side
    3,461.11x = 5,166,890.13
  5. Step 5: Solve for x
    x = 5,166,890.13/3,461.11
  6. Step 6: Final answer
    x = 1,492.84

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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.