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Finding the Fourth Proportional to 5,493.40, 8,240.09 and 4,257.13

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Solution

The fourth proportional to 5,493.40, 8,240.09 and 4,257.13 is: 6,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.40 : 8,240.09 = 4,257.13 : x
  2. Step 2: Convert to fraction form
    5,493.40/8,240.09 = 4,257.13/x
  3. Step 3: Cross multiply
    5,493.40x = 8,240.09 × 4,257.13
  4. Step 4: Simplify right side
    5,493.40x = 35,079,134.34
  5. Step 5: Solve for x
    x = 35,079,134.34/5,493.40
  6. Step 6: Final answer
    x = 6,385.69

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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.