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Finding the Fourth Proportional to 3,973.85, 5,967.12 and 3,279

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Solution

The fourth proportional to 3,973.85, 5,967.12 and 3,279 is: 4,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.85 : 5,967.12 = 3,279 : x
  2. Step 2: Convert to fraction form
    3,973.85/5,967.12 = 3,279/x
  3. Step 3: Cross multiply
    3,973.85x = 5,967.12 × 3,279
  4. Step 4: Simplify right side
    3,973.85x = 19,566,186.48
  5. Step 5: Solve for x
    x = 19,566,186.48/3,973.85
  6. Step 6: Final answer
    x = 4,923.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.