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Finding the Fourth Proportional to 3,828.39, 5,744.77 and 1,488.09

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Solution

The fourth proportional to 3,828.39, 5,744.77 and 1,488.09 is: 2,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.39 : 5,744.77 = 1,488.09 : x
  2. Step 2: Convert to fraction form
    3,828.39/5,744.77 = 1,488.09/x
  3. Step 3: Cross multiply
    3,828.39x = 5,744.77 × 1,488.09
  4. Step 4: Simplify right side
    3,828.39x = 8,548,734.79
  5. Step 5: Solve for x
    x = 8,548,734.79/3,828.39
  6. Step 6: Final answer
    x = 2,232.98

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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.