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Finding the Fourth Proportional to 4,827.41, 6,661.92 and 3,766.37

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Solution

The fourth proportional to 4,827.41, 6,661.92 and 3,766.37 is: 5,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.41 : 6,661.92 = 3,766.37 : x
  2. Step 2: Convert to fraction form
    4,827.41/6,661.92 = 3,766.37/x
  3. Step 3: Cross multiply
    4,827.41x = 6,661.92 × 3,766.37
  4. Step 4: Simplify right side
    4,827.41x = 25,091,255.63
  5. Step 5: Solve for x
    x = 25,091,255.63/4,827.41
  6. Step 6: Final answer
    x = 5,197.66

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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.