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Finding the Fourth Proportional to 5,748.44, 8,639.06 and 2,828.79

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Solution

The fourth proportional to 5,748.44, 8,639.06 and 2,828.79 is: 4,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.44 : 8,639.06 = 2,828.79 : x
  2. Step 2: Convert to fraction form
    5,748.44/8,639.06 = 2,828.79/x
  3. Step 3: Cross multiply
    5,748.44x = 8,639.06 × 2,828.79
  4. Step 4: Simplify right side
    5,748.44x = 24,438,072.39
  5. Step 5: Solve for x
    x = 24,438,072.39/5,748.44
  6. Step 6: Final answer
    x = 4,251.26

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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.