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Finding the Fourth Proportional to 3,461.86, 5,193.71 and 996.88

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Solution

The fourth proportional to 3,461.86, 5,193.71 and 996.88 is: 1,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.86 : 5,193.71 = 996.88 : x
  2. Step 2: Convert to fraction form
    3,461.86/5,193.71 = 996.88/x
  3. Step 3: Cross multiply
    3,461.86x = 5,193.71 × 996.88
  4. Step 4: Simplify right side
    3,461.86x = 5,177,514.34
  5. Step 5: Solve for x
    x = 5,177,514.34/3,461.86
  6. Step 6: Final answer
    x = 1,495.59

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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.