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Finding the Fourth Proportional to 3,461.34, 5,192.22 and 996.10

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Solution

The fourth proportional to 3,461.34, 5,192.22 and 996.10 is: 1,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.34 : 5,192.22 = 996.10 : x
  2. Step 2: Convert to fraction form
    3,461.34/5,192.22 = 996.10/x
  3. Step 3: Cross multiply
    3,461.34x = 5,192.22 × 996.10
  4. Step 4: Simplify right side
    3,461.34x = 5,171,970.34
  5. Step 5: Solve for x
    x = 5,171,970.34/3,461.34
  6. Step 6: Final answer
    x = 1,494.21

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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.