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Finding the Fourth Proportional to 5,188.54, 7,160.32 and 2,830.82

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Solution

The fourth proportional to 5,188.54, 7,160.32 and 2,830.82 is: 3,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.54 : 7,160.32 = 2,830.82 : x
  2. Step 2: Convert to fraction form
    5,188.54/7,160.32 = 2,830.82/x
  3. Step 3: Cross multiply
    5,188.54x = 7,160.32 × 2,830.82
  4. Step 4: Simplify right side
    5,188.54x = 20,269,577.06
  5. Step 5: Solve for x
    x = 20,269,577.06/5,188.54
  6. Step 6: Final answer
    x = 3,906.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.