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Finding the Fourth Proportional to 5,193.56, 7,790.22 and 1,297.97

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Solution

The fourth proportional to 5,193.56, 7,790.22 and 1,297.97 is: 1,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.56 : 7,790.22 = 1,297.97 : x
  2. Step 2: Convert to fraction form
    5,193.56/7,790.22 = 1,297.97/x
  3. Step 3: Cross multiply
    5,193.56x = 7,790.22 × 1,297.97
  4. Step 4: Simplify right side
    5,193.56x = 10,111,432.90
  5. Step 5: Solve for x
    x = 10,111,432.90/5,193.56
  6. Step 6: Final answer
    x = 1,946.92

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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.