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Finding the Fourth Proportional to 5,493.70, 8,240.55 and 5,420.80

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Solution

The fourth proportional to 5,493.70, 8,240.55 and 5,420.80 is: 8,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.70 : 8,240.55 = 5,420.80 : x
  2. Step 2: Convert to fraction form
    5,493.70/8,240.55 = 5,420.80/x
  3. Step 3: Cross multiply
    5,493.70x = 8,240.55 × 5,420.80
  4. Step 4: Simplify right side
    5,493.70x = 44,670,373.44
  5. Step 5: Solve for x
    x = 44,670,373.44/5,493.70
  6. Step 6: Final answer
    x = 8,131.20

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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.