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Finding the Fourth Proportional to 4,757.82, 6,565.89 and 2,768.70

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Solution

The fourth proportional to 4,757.82, 6,565.89 and 2,768.70 is: 3,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.82 : 6,565.89 = 2,768.70 : x
  2. Step 2: Convert to fraction form
    4,757.82/6,565.89 = 2,768.70/x
  3. Step 3: Cross multiply
    4,757.82x = 6,565.89 × 2,768.70
  4. Step 4: Simplify right side
    4,757.82x = 18,178,979.64
  5. Step 5: Solve for x
    x = 18,178,979.64/4,757.82
  6. Step 6: Final answer
    x = 3,820.86

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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.