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Finding the Fourth Proportional to 5,277.32, 7,918.73 and 3,828.42

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Solution

The fourth proportional to 5,277.32, 7,918.73 and 3,828.42 is: 5,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.32 : 7,918.73 = 3,828.42 : x
  2. Step 2: Convert to fraction form
    5,277.32/7,918.73 = 3,828.42/x
  3. Step 3: Cross multiply
    5,277.32x = 7,918.73 × 3,828.42
  4. Step 4: Simplify right side
    5,277.32x = 30,316,205.16
  5. Step 5: Solve for x
    x = 30,316,205.16/5,277.32
  6. Step 6: Final answer
    x = 5,744.63

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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.