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Finding the Fourth Proportional to 3,924.81, 5,885.99 and 1,150.79

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Solution

The fourth proportional to 3,924.81, 5,885.99 and 1,150.79 is: 1,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.81 : 5,885.99 = 1,150.79 : x
  2. Step 2: Convert to fraction form
    3,924.81/5,885.99 = 1,150.79/x
  3. Step 3: Cross multiply
    3,924.81x = 5,885.99 × 1,150.79
  4. Step 4: Simplify right side
    3,924.81x = 6,773,568.74
  5. Step 5: Solve for x
    x = 6,773,568.74/3,924.81
  6. Step 6: Final answer
    x = 1,725.83

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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.