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Finding the Fourth Proportional to 4,778.67, 6,593.77 and 2,653.86

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Solution

The fourth proportional to 4,778.67, 6,593.77 and 2,653.86 is: 3,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.67 : 6,593.77 = 2,653.86 : x
  2. Step 2: Convert to fraction form
    4,778.67/6,593.77 = 2,653.86/x
  3. Step 3: Cross multiply
    4,778.67x = 6,593.77 × 2,653.86
  4. Step 4: Simplify right side
    4,778.67x = 17,498,942.45
  5. Step 5: Solve for x
    x = 17,498,942.45/4,778.67
  6. Step 6: Final answer
    x = 3,661.89

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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.