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Finding the Fourth Proportional to 5,796.12, 8,674.74 and 3,597.24

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Solution

The fourth proportional to 5,796.12, 8,674.74 and 3,597.24 is: 5,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.12 : 8,674.74 = 3,597.24 : x
  2. Step 2: Convert to fraction form
    5,796.12/8,674.74 = 3,597.24/x
  3. Step 3: Cross multiply
    5,796.12x = 8,674.74 × 3,597.24
  4. Step 4: Simplify right side
    5,796.12x = 31,205,121.72
  5. Step 5: Solve for x
    x = 31,205,121.72/5,796.12
  6. Step 6: Final answer
    x = 5,383.79

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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.