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Finding the Fourth Proportional to 5,142.98, 7,096.76 and 3,799.29

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Solution

The fourth proportional to 5,142.98, 7,096.76 and 3,799.29 is: 5,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.98 : 7,096.76 = 3,799.29 : x
  2. Step 2: Convert to fraction form
    5,142.98/7,096.76 = 3,799.29/x
  3. Step 3: Cross multiply
    5,142.98x = 7,096.76 × 3,799.29
  4. Step 4: Simplify right side
    5,142.98x = 26,962,630.30
  5. Step 5: Solve for x
    x = 26,962,630.30/5,142.98
  6. Step 6: Final answer
    x = 5,242.61

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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.