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Finding the Fourth Proportional to 5,393.09, 8,076.78 and 3,411.87

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Solution

The fourth proportional to 5,393.09, 8,076.78 and 3,411.87 is: 5,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.09 : 8,076.78 = 3,411.87 : x
  2. Step 2: Convert to fraction form
    5,393.09/8,076.78 = 3,411.87/x
  3. Step 3: Cross multiply
    5,393.09x = 8,076.78 × 3,411.87
  4. Step 4: Simplify right side
    5,393.09x = 27,556,923.38
  5. Step 5: Solve for x
    x = 27,556,923.38/5,393.09
  6. Step 6: Final answer
    x = 5,109.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.