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Finding the Fourth Proportional to 5,493.42, 8,200.17 and 5,087.34

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Solution

The fourth proportional to 5,493.42, 8,200.17 and 5,087.34 is: 7,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.42 : 8,200.17 = 5,087.34 : x
  2. Step 2: Convert to fraction form
    5,493.42/8,200.17 = 5,087.34/x
  3. Step 3: Cross multiply
    5,493.42x = 8,200.17 × 5,087.34
  4. Step 4: Simplify right side
    5,493.42x = 41,717,052.85
  5. Step 5: Solve for x
    x = 41,717,052.85/5,493.42
  6. Step 6: Final answer
    x = 7,594.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.