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Finding the Fourth Proportional to 3,890.43, 5,836.49 and 1,258.09

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Solution

The fourth proportional to 3,890.43, 5,836.49 and 1,258.09 is: 1,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.43 : 5,836.49 = 1,258.09 : x
  2. Step 2: Convert to fraction form
    3,890.43/5,836.49 = 1,258.09/x
  3. Step 3: Cross multiply
    3,890.43x = 5,836.49 × 1,258.09
  4. Step 4: Simplify right side
    3,890.43x = 7,342,829.70
  5. Step 5: Solve for x
    x = 7,342,829.70/3,890.43
  6. Step 6: Final answer
    x = 1,887.41

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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.