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Finding the Fourth Proportional to 5,115.93, 7,662.75 and 3,135.56

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Solution

The fourth proportional to 5,115.93, 7,662.75 and 3,135.56 is: 4,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.93 : 7,662.75 = 3,135.56 : x
  2. Step 2: Convert to fraction form
    5,115.93/7,662.75 = 3,135.56/x
  3. Step 3: Cross multiply
    5,115.93x = 7,662.75 × 3,135.56
  4. Step 4: Simplify right side
    5,115.93x = 24,027,023.06
  5. Step 5: Solve for x
    x = 24,027,023.06/5,115.93
  6. Step 6: Final answer
    x = 4,696.51

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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.