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Finding the Fourth Proportional to 5,493.60, 8,240.40 and 5,176.80

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Solution

The fourth proportional to 5,493.60, 8,240.40 and 5,176.80 is: 7,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.60 : 8,240.40 = 5,176.80 : x
  2. Step 2: Convert to fraction form
    5,493.60/8,240.40 = 5,176.80/x
  3. Step 3: Cross multiply
    5,493.60x = 8,240.40 × 5,176.80
  4. Step 4: Simplify right side
    5,493.60x = 42,658,902.72
  5. Step 5: Solve for x
    x = 42,658,902.72/5,493.60
  6. Step 6: Final answer
    x = 7,765.20

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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.