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Finding the Fourth Proportional to 5,796.46, 7,991.56 and 4,733.13

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Solution

The fourth proportional to 5,796.46, 7,991.56 and 4,733.13 is: 6,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.46 : 7,991.56 = 4,733.13 : x
  2. Step 2: Convert to fraction form
    5,796.46/7,991.56 = 4,733.13/x
  3. Step 3: Cross multiply
    5,796.46x = 7,991.56 × 4,733.13
  4. Step 4: Simplify right side
    5,796.46x = 37,825,128.27
  5. Step 5: Solve for x
    x = 37,825,128.27/5,796.46
  6. Step 6: Final answer
    x = 6,525.56

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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.