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Finding the Fourth Proportional to 5,975.74, 8,944.89 and 3,864.57

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Solution

The fourth proportional to 5,975.74, 8,944.89 and 3,864.57 is: 5,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.74 : 8,944.89 = 3,864.57 : x
  2. Step 2: Convert to fraction form
    5,975.74/8,944.89 = 3,864.57/x
  3. Step 3: Cross multiply
    5,975.74x = 8,944.89 × 3,864.57
  4. Step 4: Simplify right side
    5,975.74x = 34,568,153.55
  5. Step 5: Solve for x
    x = 34,568,153.55/5,975.74
  6. Step 6: Final answer
    x = 5,784.75

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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.