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Finding the Fourth Proportional to 3,773.36, 5,200.76 and 3,247.28

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Solution

The fourth proportional to 3,773.36, 5,200.76 and 3,247.28 is: 4,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.36 : 5,200.76 = 3,247.28 : x
  2. Step 2: Convert to fraction form
    3,773.36/5,200.76 = 3,247.28/x
  3. Step 3: Cross multiply
    3,773.36x = 5,200.76 × 3,247.28
  4. Step 4: Simplify right side
    3,773.36x = 16,888,323.93
  5. Step 5: Solve for x
    x = 16,888,323.93/3,773.36
  6. Step 6: Final answer
    x = 4,475.67

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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.