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Finding the Fourth Proportional to 5,648.40, 7,795.34 and 3,131.33

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Solution

The fourth proportional to 5,648.40, 7,795.34 and 3,131.33 is: 4,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.40 : 7,795.34 = 3,131.33 : x
  2. Step 2: Convert to fraction form
    5,648.40/7,795.34 = 3,131.33/x
  3. Step 3: Cross multiply
    5,648.40x = 7,795.34 × 3,131.33
  4. Step 4: Simplify right side
    5,648.40x = 24,409,739.11
  5. Step 5: Solve for x
    x = 24,409,739.11/5,648.40
  6. Step 6: Final answer
    x = 4,321.53

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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.