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Finding the Fourth Proportional to 5,763.56, 7,953.54 and 4,198.28

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Solution

The fourth proportional to 5,763.56, 7,953.54 and 4,198.28 is: 5,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.56 : 7,953.54 = 4,198.28 : x
  2. Step 2: Convert to fraction form
    5,763.56/7,953.54 = 4,198.28/x
  3. Step 3: Cross multiply
    5,763.56x = 7,953.54 × 4,198.28
  4. Step 4: Simplify right side
    5,763.56x = 33,391,187.91
  5. Step 5: Solve for x
    x = 33,391,187.91/5,763.56
  6. Step 6: Final answer
    x = 5,793.50

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