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Finding the Fourth Proportional to 5,180.76, 7,771.14 and 1,892.06

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Solution

The fourth proportional to 5,180.76, 7,771.14 and 1,892.06 is: 2,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.76 : 7,771.14 = 1,892.06 : x
  2. Step 2: Convert to fraction form
    5,180.76/7,771.14 = 1,892.06/x
  3. Step 3: Cross multiply
    5,180.76x = 7,771.14 × 1,892.06
  4. Step 4: Simplify right side
    5,180.76x = 14,703,453.43
  5. Step 5: Solve for x
    x = 14,703,453.43/5,180.76
  6. Step 6: Final answer
    x = 2,838.09

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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.