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Finding the Fourth Proportional to 5,493.84, 8,244.36 and 5,129.34

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Solution

The fourth proportional to 5,493.84, 8,244.36 and 5,129.34 is: 7,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.84 : 8,244.36 = 5,129.34 : x
  2. Step 2: Convert to fraction form
    5,493.84/8,244.36 = 5,129.34/x
  3. Step 3: Cross multiply
    5,493.84x = 8,244.36 × 5,129.34
  4. Step 4: Simplify right side
    5,493.84x = 42,288,125.52
  5. Step 5: Solve for x
    x = 42,288,125.52/5,493.84
  6. Step 6: Final answer
    x = 7,697.37

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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.