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Finding the Fourth Proportional to 4,756.62, 6,565.66 and 2,766.80

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Solution

The fourth proportional to 4,756.62, 6,565.66 and 2,766.80 is: 3,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.62 : 6,565.66 = 2,766.80 : x
  2. Step 2: Convert to fraction form
    4,756.62/6,565.66 = 2,766.80/x
  3. Step 3: Cross multiply
    4,756.62x = 6,565.66 × 2,766.80
  4. Step 4: Simplify right side
    4,756.62x = 18,165,868.09
  5. Step 5: Solve for x
    x = 18,165,868.09/4,756.62
  6. Step 6: Final answer
    x = 3,819.07

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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.