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Finding the Fourth Proportional to 5,246.73, 7,869.69 and 1,736.73

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Solution

The fourth proportional to 5,246.73, 7,869.69 and 1,736.73 is: 2,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.73 : 7,869.69 = 1,736.73 : x
  2. Step 2: Convert to fraction form
    5,246.73/7,869.69 = 1,736.73/x
  3. Step 3: Cross multiply
    5,246.73x = 7,869.69 × 1,736.73
  4. Step 4: Simplify right side
    5,246.73x = 13,667,526.71
  5. Step 5: Solve for x
    x = 13,667,526.71/5,246.73
  6. Step 6: Final answer
    x = 2,604.96

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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.