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Finding the Fourth Proportional to 3,704.40, 5,548.98 and 2,467.80

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Solution

The fourth proportional to 3,704.40, 5,548.98 and 2,467.80 is: 3,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.40 : 5,548.98 = 2,467.80 : x
  2. Step 2: Convert to fraction form
    3,704.40/5,548.98 = 2,467.80/x
  3. Step 3: Cross multiply
    3,704.40x = 5,548.98 × 2,467.80
  4. Step 4: Simplify right side
    3,704.40x = 13,693,772.84
  5. Step 5: Solve for x
    x = 13,693,772.84/3,704.40
  6. Step 6: Final answer
    x = 3,696.62

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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.