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Finding the Fourth Proportional to 5,649.27, 7,795.60 and 3,131.14

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Solution

The fourth proportional to 5,649.27, 7,795.60 and 3,131.14 is: 4,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.27 : 7,795.60 = 3,131.14 : x
  2. Step 2: Convert to fraction form
    5,649.27/7,795.60 = 3,131.14/x
  3. Step 3: Cross multiply
    5,649.27x = 7,795.60 × 3,131.14
  4. Step 4: Simplify right side
    5,649.27x = 24,409,114.98
  5. Step 5: Solve for x
    x = 24,409,114.98/5,649.27
  6. Step 6: Final answer
    x = 4,320.76

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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.