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Finding the Fourth Proportional to 3,956.75, 5,933.23 and 1,182.45

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Solution

The fourth proportional to 3,956.75, 5,933.23 and 1,182.45 is: 1,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.75 : 5,933.23 = 1,182.45 : x
  2. Step 2: Convert to fraction form
    3,956.75/5,933.23 = 1,182.45/x
  3. Step 3: Cross multiply
    3,956.75x = 5,933.23 × 1,182.45
  4. Step 4: Simplify right side
    3,956.75x = 7,015,747.81
  5. Step 5: Solve for x
    x = 7,015,747.81/3,956.75
  6. Step 6: Final answer
    x = 1,773.11

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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.