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Finding the Fourth Proportional to 4,634.38, 6,951.51 and 1,861.00

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Solution

The fourth proportional to 4,634.38, 6,951.51 and 1,861.00 is: 2,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.38 : 6,951.51 = 1,861.00 : x
  2. Step 2: Convert to fraction form
    4,634.38/6,951.51 = 1,861.00/x
  3. Step 3: Cross multiply
    4,634.38x = 6,951.51 × 1,861.00
  4. Step 4: Simplify right side
    4,634.38x = 12,936,742.73
  5. Step 5: Solve for x
    x = 12,936,742.73/4,634.38
  6. Step 6: Final answer
    x = 2,791.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.