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Finding the Fourth Proportional to 4,783.66, 6,601.34 and 2,766.92

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Solution

The fourth proportional to 4,783.66, 6,601.34 and 2,766.92 is: 3,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.66 : 6,601.34 = 2,766.92 : x
  2. Step 2: Convert to fraction form
    4,783.66/6,601.34 = 2,766.92/x
  3. Step 3: Cross multiply
    4,783.66x = 6,601.34 × 2,766.92
  4. Step 4: Simplify right side
    4,783.66x = 18,265,379.67
  5. Step 5: Solve for x
    x = 18,265,379.67/4,783.66
  6. Step 6: Final answer
    x = 3,818.29

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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.