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Finding the Fourth Proportional to 5,885.49, 8,825.89 and 2,596.25

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Solution

The fourth proportional to 5,885.49, 8,825.89 and 2,596.25 is: 3,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.49 : 8,825.89 = 2,596.25 : x
  2. Step 2: Convert to fraction form
    5,885.49/8,825.89 = 2,596.25/x
  3. Step 3: Cross multiply
    5,885.49x = 8,825.89 × 2,596.25
  4. Step 4: Simplify right side
    5,885.49x = 22,914,216.91
  5. Step 5: Solve for x
    x = 22,914,216.91/5,885.49
  6. Step 6: Final answer
    x = 3,893.34

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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.