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Finding the Fourth Proportional to 4,767.51, 6,578.90 and 2,778.39

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Solution

The fourth proportional to 4,767.51, 6,578.90 and 2,778.39 is: 3,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.51 : 6,578.90 = 2,778.39 : x
  2. Step 2: Convert to fraction form
    4,767.51/6,578.90 = 2,778.39/x
  3. Step 3: Cross multiply
    4,767.51x = 6,578.90 × 2,778.39
  4. Step 4: Simplify right side
    4,767.51x = 18,278,736.08
  5. Step 5: Solve for x
    x = 18,278,736.08/4,767.51
  6. Step 6: Final answer
    x = 3,834.02

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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.