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Finding the Fourth Proportional to 4,757.70, 6,565.59 and 2,769.42

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Solution

The fourth proportional to 4,757.70, 6,565.59 and 2,769.42 is: 3,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.70 : 6,565.59 = 2,769.42 : x
  2. Step 2: Convert to fraction form
    4,757.70/6,565.59 = 2,769.42/x
  3. Step 3: Cross multiply
    4,757.70x = 6,565.59 × 2,769.42
  4. Step 4: Simplify right side
    4,757.70x = 18,182,876.26
  5. Step 5: Solve for x
    x = 18,182,876.26/4,757.70
  6. Step 6: Final answer
    x = 3,821.78

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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.