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Finding the Fourth Proportional to 5,247.48, 7,871.73 and 1,736.46

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Solution

The fourth proportional to 5,247.48, 7,871.73 and 1,736.46 is: 2,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.48 : 7,871.73 = 1,736.46 : x
  2. Step 2: Convert to fraction form
    5,247.48/7,871.73 = 1,736.46/x
  3. Step 3: Cross multiply
    5,247.48x = 7,871.73 × 1,736.46
  4. Step 4: Simplify right side
    5,247.48x = 13,668,944.28
  5. Step 5: Solve for x
    x = 13,668,944.28/5,247.48
  6. Step 6: Final answer
    x = 2,604.86

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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.