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Finding the Fourth Proportional to 5,748.29, 7,914.46 and 5,222.75

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Solution

The fourth proportional to 5,748.29, 7,914.46 and 5,222.75 is: 7,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.29 : 7,914.46 = 5,222.75 : x
  2. Step 2: Convert to fraction form
    5,748.29/7,914.46 = 5,222.75/x
  3. Step 3: Cross multiply
    5,748.29x = 7,914.46 × 5,222.75
  4. Step 4: Simplify right side
    5,748.29x = 41,335,252.69
  5. Step 5: Solve for x
    x = 41,335,252.69/5,748.29
  6. Step 6: Final answer
    x = 7,190.87

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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.