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Finding the Fourth Proportional to 5,420.94, 8,128.53 and 2,496.75

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Solution

The fourth proportional to 5,420.94, 8,128.53 and 2,496.75 is: 3,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.94 : 8,128.53 = 2,496.75 : x
  2. Step 2: Convert to fraction form
    5,420.94/8,128.53 = 2,496.75/x
  3. Step 3: Cross multiply
    5,420.94x = 8,128.53 × 2,496.75
  4. Step 4: Simplify right side
    5,420.94x = 20,294,907.28
  5. Step 5: Solve for x
    x = 20,294,907.28/5,420.94
  6. Step 6: Final answer
    x = 3,743.80

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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.