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Finding the Fourth Proportional to 4,917.63, 6,781.77 and 3,661.77

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Solution

The fourth proportional to 4,917.63, 6,781.77 and 3,661.77 is: 5,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.63 : 6,781.77 = 3,661.77 : x
  2. Step 2: Convert to fraction form
    4,917.63/6,781.77 = 3,661.77/x
  3. Step 3: Cross multiply
    4,917.63x = 6,781.77 × 3,661.77
  4. Step 4: Simplify right side
    4,917.63x = 24,833,281.93
  5. Step 5: Solve for x
    x = 24,833,281.93/4,917.63
  6. Step 6: Final answer
    x = 5,049.85

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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.