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Finding the Fourth Proportional to 5,227.34, 7,842.83 and 4,676.13

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Solution

The fourth proportional to 5,227.34, 7,842.83 and 4,676.13 is: 7,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.34 : 7,842.83 = 4,676.13 : x
  2. Step 2: Convert to fraction form
    5,227.34/7,842.83 = 4,676.13/x
  3. Step 3: Cross multiply
    5,227.34x = 7,842.83 × 4,676.13
  4. Step 4: Simplify right side
    5,227.34x = 36,674,069.27
  5. Step 5: Solve for x
    x = 36,674,069.27/5,227.34
  6. Step 6: Final answer
    x = 7,015.83

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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.