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Finding the Fourth Proportional to 3,791, 5,685.96 and 1,193.96

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Solution

The fourth proportional to 3,791, 5,685.96 and 1,193.96 is: 1,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791 : 5,685.96 = 1,193.96 : x
  2. Step 2: Convert to fraction form
    3,791/5,685.96 = 1,193.96/x
  3. Step 3: Cross multiply
    3,791x = 5,685.96 × 1,193.96
  4. Step 4: Simplify right side
    3,791x = 6,788,808.80
  5. Step 5: Solve for x
    x = 6,788,808.80/3,791
  6. Step 6: Final answer
    x = 1,790.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.