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Finding the Fourth Proportional to 5,277.81, 7,919.47 and 3,828.92

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Solution

The fourth proportional to 5,277.81, 7,919.47 and 3,828.92 is: 5,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.81 : 7,919.47 = 3,828.92 : x
  2. Step 2: Convert to fraction form
    5,277.81/7,919.47 = 3,828.92/x
  3. Step 3: Cross multiply
    5,277.81x = 7,919.47 × 3,828.92
  4. Step 4: Simplify right side
    5,277.81x = 30,323,017.07
  5. Step 5: Solve for x
    x = 30,323,017.07/5,277.81
  6. Step 6: Final answer
    x = 5,745.38

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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.