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Finding the Fourth Proportional to 3,863.07, 5,794.35 and 1,230.53

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Solution

The fourth proportional to 3,863.07, 5,794.35 and 1,230.53 is: 1,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.07 : 5,794.35 = 1,230.53 : x
  2. Step 2: Convert to fraction form
    3,863.07/5,794.35 = 1,230.53/x
  3. Step 3: Cross multiply
    3,863.07x = 5,794.35 × 1,230.53
  4. Step 4: Simplify right side
    3,863.07x = 7,130,121.51
  5. Step 5: Solve for x
    x = 7,130,121.51/3,863.07
  6. Step 6: Final answer
    x = 1,845.71

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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.