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Finding the Fourth Proportional to 4,768.89, 6,581.43 and 2,780.07

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Solution

The fourth proportional to 4,768.89, 6,581.43 and 2,780.07 is: 3,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.89 : 6,581.43 = 2,780.07 : x
  2. Step 2: Convert to fraction form
    4,768.89/6,581.43 = 2,780.07/x
  3. Step 3: Cross multiply
    4,768.89x = 6,581.43 × 2,780.07
  4. Step 4: Simplify right side
    4,768.89x = 18,296,836.10
  5. Step 5: Solve for x
    x = 18,296,836.10/4,768.89
  6. Step 6: Final answer
    x = 3,836.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.