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Finding the Fourth Proportional to 5,763.73, 7,954.11 and 3,525.57

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Solution

The fourth proportional to 5,763.73, 7,954.11 and 3,525.57 is: 4,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.73 : 7,954.11 = 3,525.57 : x
  2. Step 2: Convert to fraction form
    5,763.73/7,954.11 = 3,525.57/x
  3. Step 3: Cross multiply
    5,763.73x = 7,954.11 × 3,525.57
  4. Step 4: Simplify right side
    5,763.73x = 28,042,714.19
  5. Step 5: Solve for x
    x = 28,042,714.19/5,763.73
  6. Step 6: Final answer
    x = 4,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.