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Finding the Fourth Proportional to 5,791.20, 8,667.60 and 5,330.40

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Solution

The fourth proportional to 5,791.20, 8,667.60 and 5,330.40 is: 7,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.20 : 8,667.60 = 5,330.40 : x
  2. Step 2: Convert to fraction form
    5,791.20/8,667.60 = 5,330.40/x
  3. Step 3: Cross multiply
    5,791.20x = 8,667.60 × 5,330.40
  4. Step 4: Simplify right side
    5,791.20x = 46,201,775.04
  5. Step 5: Solve for x
    x = 46,201,775.04/5,791.20
  6. Step 6: Final answer
    x = 7,977.93

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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.