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Finding the Fourth Proportional to 5,277.45, 7,918.91 and 3,828.56

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Solution

The fourth proportional to 5,277.45, 7,918.91 and 3,828.56 is: 5,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.45 : 7,918.91 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    5,277.45/7,918.91 = 3,828.56/x
  3. Step 3: Cross multiply
    5,277.45x = 7,918.91 × 3,828.56
  4. Step 4: Simplify right side
    5,277.45x = 30,318,002.93
  5. Step 5: Solve for x
    x = 30,318,002.93/5,277.45
  6. Step 6: Final answer
    x = 5,744.82

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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.