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Finding the Fourth Proportional to 5,258.89, 7,892.92 and 2,140.59

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Solution

The fourth proportional to 5,258.89, 7,892.92 and 2,140.59 is: 3,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.89 : 7,892.92 = 2,140.59 : x
  2. Step 2: Convert to fraction form
    5,258.89/7,892.92 = 2,140.59/x
  3. Step 3: Cross multiply
    5,258.89x = 7,892.92 × 2,140.59
  4. Step 4: Simplify right side
    5,258.89x = 16,895,505.62
  5. Step 5: Solve for x
    x = 16,895,505.62/5,258.89
  6. Step 6: Final answer
    x = 3,212.75

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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.