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Finding the Fourth Proportional to 3,866.42, 5,337.20 and 2,611.10

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Solution

The fourth proportional to 3,866.42, 5,337.20 and 2,611.10 is: 3,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.42 : 5,337.20 = 2,611.10 : x
  2. Step 2: Convert to fraction form
    3,866.42/5,337.20 = 2,611.10/x
  3. Step 3: Cross multiply
    3,866.42x = 5,337.20 × 2,611.10
  4. Step 4: Simplify right side
    3,866.42x = 13,935,962.92
  5. Step 5: Solve for x
    x = 13,935,962.92/3,866.42
  6. Step 6: Final answer
    x = 3,604.36

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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.