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Finding the Fourth Proportional to 3,971.85, 5,958.17 and 1,374.45

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Solution

The fourth proportional to 3,971.85, 5,958.17 and 1,374.45 is: 2,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.85 : 5,958.17 = 1,374.45 : x
  2. Step 2: Convert to fraction form
    3,971.85/5,958.17 = 1,374.45/x
  3. Step 3: Cross multiply
    3,971.85x = 5,958.17 × 1,374.45
  4. Step 4: Simplify right side
    3,971.85x = 8,189,206.76
  5. Step 5: Solve for x
    x = 8,189,206.76/3,971.85
  6. Step 6: Final answer
    x = 2,061.81

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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.