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Finding the Fourth Proportional to 3,884.87, 5,823.36 and 1,546.53

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Solution

The fourth proportional to 3,884.87, 5,823.36 and 1,546.53 is: 2,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.87 : 5,823.36 = 1,546.53 : x
  2. Step 2: Convert to fraction form
    3,884.87/5,823.36 = 1,546.53/x
  3. Step 3: Cross multiply
    3,884.87x = 5,823.36 × 1,546.53
  4. Step 4: Simplify right side
    3,884.87x = 9,006,011.86
  5. Step 5: Solve for x
    x = 9,006,011.86/3,884.87
  6. Step 6: Final answer
    x = 2,318.23

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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.