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Finding the Fourth Proportional to 3,818.33, 5,729.94 and 1,627.07

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Solution

The fourth proportional to 3,818.33, 5,729.94 and 1,627.07 is: 2,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.33 : 5,729.94 = 1,627.07 : x
  2. Step 2: Convert to fraction form
    3,818.33/5,729.94 = 1,627.07/x
  3. Step 3: Cross multiply
    3,818.33x = 5,729.94 × 1,627.07
  4. Step 4: Simplify right side
    3,818.33x = 9,323,013.48
  5. Step 5: Solve for x
    x = 9,323,013.48/3,818.33
  6. Step 6: Final answer
    x = 2,441.65

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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.