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Finding the Fourth Proportional to 5,188.71, 7,160.31 and 2,830.80

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Solution

The fourth proportional to 5,188.71, 7,160.31 and 2,830.80 is: 3,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.71 : 7,160.31 = 2,830.80 : x
  2. Step 2: Convert to fraction form
    5,188.71/7,160.31 = 2,830.80/x
  3. Step 3: Cross multiply
    5,188.71x = 7,160.31 × 2,830.80
  4. Step 4: Simplify right side
    5,188.71x = 20,269,405.55
  5. Step 5: Solve for x
    x = 20,269,405.55/5,188.71
  6. Step 6: Final answer
    x = 3,906.44

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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.