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Finding the Fourth Proportional to 3,461.29, 5,191.95 and 996.13

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Solution

The fourth proportional to 3,461.29, 5,191.95 and 996.13 is: 1,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.29 : 5,191.95 = 996.13 : x
  2. Step 2: Convert to fraction form
    3,461.29/5,191.95 = 996.13/x
  3. Step 3: Cross multiply
    3,461.29x = 5,191.95 × 996.13
  4. Step 4: Simplify right side
    3,461.29x = 5,171,857.15
  5. Step 5: Solve for x
    x = 5,171,857.15/3,461.29
  6. Step 6: Final answer
    x = 1,494.20

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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.