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Finding the Fourth Proportional to 5,200.70, 7,791.45 and 4,855.10

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Solution

The fourth proportional to 5,200.70, 7,791.45 and 4,855.10 is: 7,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,791.45 = 4,855.10 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,791.45 = 4,855.10/x
  3. Step 3: Cross multiply
    5,200.70x = 7,791.45 × 4,855.10
  4. Step 4: Simplify right side
    5,200.70x = 37,828,268.90
  5. Step 5: Solve for x
    x = 37,828,268.90/5,200.70
  6. Step 6: Final answer
    x = 7,273.69

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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.