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Finding the Fourth Proportional to 5,649.46, 7,796.33 and 3,131.62

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Solution

The fourth proportional to 5,649.46, 7,796.33 and 3,131.62 is: 4,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.46 : 7,796.33 = 3,131.62 : x
  2. Step 2: Convert to fraction form
    5,649.46/7,796.33 = 3,131.62/x
  3. Step 3: Cross multiply
    5,649.46x = 7,796.33 × 3,131.62
  4. Step 4: Simplify right side
    5,649.46x = 24,415,088.31
  5. Step 5: Solve for x
    x = 24,415,088.31/5,649.46
  6. Step 6: Final answer
    x = 4,321.67

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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.