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Finding the Fourth Proportional to 5,885.50, 8,122.71 and 3,401.50

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Solution

The fourth proportional to 5,885.50, 8,122.71 and 3,401.50 is: 4,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.50 : 8,122.71 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    5,885.50/8,122.71 = 3,401.50/x
  3. Step 3: Cross multiply
    5,885.50x = 8,122.71 × 3,401.50
  4. Step 4: Simplify right side
    5,885.50x = 27,629,398.07
  5. Step 5: Solve for x
    x = 27,629,398.07/5,885.50
  6. Step 6: Final answer
    x = 4,694.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.