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Finding the Fourth Proportional to 4,113.84, 6,167.36 and 2,571.60

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Solution

The fourth proportional to 4,113.84, 6,167.36 and 2,571.60 is: 3,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.84 : 6,167.36 = 2,571.60 : x
  2. Step 2: Convert to fraction form
    4,113.84/6,167.36 = 2,571.60/x
  3. Step 3: Cross multiply
    4,113.84x = 6,167.36 × 2,571.60
  4. Step 4: Simplify right side
    4,113.84x = 15,859,982.98
  5. Step 5: Solve for x
    x = 15,859,982.98/4,113.84
  6. Step 6: Final answer
    x = 3,855.27

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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.