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Finding the Fourth Proportional to 4,823.89, 6,650.78 and 3,827.41

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Solution

The fourth proportional to 4,823.89, 6,650.78 and 3,827.41 is: 5,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.89 : 6,650.78 = 3,827.41 : x
  2. Step 2: Convert to fraction form
    4,823.89/6,650.78 = 3,827.41/x
  3. Step 3: Cross multiply
    4,823.89x = 6,650.78 × 3,827.41
  4. Step 4: Simplify right side
    4,823.89x = 25,455,226.12
  5. Step 5: Solve for x
    x = 25,455,226.12/4,823.89
  6. Step 6: Final answer
    x = 5,276.91

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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.