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Finding the Fourth Proportional to 5,369.78, 7,409.58 and 3,131.48

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Solution

The fourth proportional to 5,369.78, 7,409.58 and 3,131.48 is: 4,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.78 : 7,409.58 = 3,131.48 : x
  2. Step 2: Convert to fraction form
    5,369.78/7,409.58 = 3,131.48/x
  3. Step 3: Cross multiply
    5,369.78x = 7,409.58 × 3,131.48
  4. Step 4: Simplify right side
    5,369.78x = 23,202,951.58
  5. Step 5: Solve for x
    x = 23,202,951.58/5,369.78
  6. Step 6: Final answer
    x = 4,321.02

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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.