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Finding the Fourth Proportional to 4,766.85, 6,577.02 and 2,876.94

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Solution

The fourth proportional to 4,766.85, 6,577.02 and 2,876.94 is: 3,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.85 : 6,577.02 = 2,876.94 : x
  2. Step 2: Convert to fraction form
    4,766.85/6,577.02 = 2,876.94/x
  3. Step 3: Cross multiply
    4,766.85x = 6,577.02 × 2,876.94
  4. Step 4: Simplify right side
    4,766.85x = 18,921,691.92
  5. Step 5: Solve for x
    x = 18,921,691.92/4,766.85
  6. Step 6: Final answer
    x = 3,969.43

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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.