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Finding the Fourth Proportional to 3,871.60, 5,344.12 and 2,611.84

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Solution

The fourth proportional to 3,871.60, 5,344.12 and 2,611.84 is: 3,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.60 : 5,344.12 = 2,611.84 : x
  2. Step 2: Convert to fraction form
    3,871.60/5,344.12 = 2,611.84/x
  3. Step 3: Cross multiply
    3,871.60x = 5,344.12 × 2,611.84
  4. Step 4: Simplify right side
    3,871.60x = 13,957,986.38
  5. Step 5: Solve for x
    x = 13,957,986.38/3,871.60
  6. Step 6: Final answer
    x = 3,605.22

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Why These Related Problems?

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