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Finding the Fourth Proportional to 5,150.39, 7,725.57 and 1,863.47

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Solution

The fourth proportional to 5,150.39, 7,725.57 and 1,863.47 is: 2,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.39 : 7,725.57 = 1,863.47 : x
  2. Step 2: Convert to fraction form
    5,150.39/7,725.57 = 1,863.47/x
  3. Step 3: Cross multiply
    5,150.39x = 7,725.57 × 1,863.47
  4. Step 4: Simplify right side
    5,150.39x = 14,396,367.93
  5. Step 5: Solve for x
    x = 14,396,367.93/5,150.39
  6. Step 6: Final answer
    x = 2,795.20

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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.