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Finding the Fourth Proportional to 5,923.64, 8,174.75 and 3,271.22

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Solution

The fourth proportional to 5,923.64, 8,174.75 and 3,271.22 is: 4,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.64 : 8,174.75 = 3,271.22 : x
  2. Step 2: Convert to fraction form
    5,923.64/8,174.75 = 3,271.22/x
  3. Step 3: Cross multiply
    5,923.64x = 8,174.75 × 3,271.22
  4. Step 4: Simplify right side
    5,923.64x = 26,741,405.70
  5. Step 5: Solve for x
    x = 26,741,405.70/5,923.64
  6. Step 6: Final answer
    x = 4,514.35

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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.