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Finding the Fourth Proportional to 5,496.84, 8,231.89 and 2,575.98

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Solution

The fourth proportional to 5,496.84, 8,231.89 and 2,575.98 is: 3,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.84 : 8,231.89 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    5,496.84/8,231.89 = 2,575.98/x
  3. Step 3: Cross multiply
    5,496.84x = 8,231.89 × 2,575.98
  4. Step 4: Simplify right side
    5,496.84x = 21,205,184.00
  5. Step 5: Solve for x
    x = 21,205,184.00/5,496.84
  6. Step 6: Final answer
    x = 3,857.70

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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.