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Finding the Fourth Proportional to 3,706.44, 5,564.04 and 1,516.80

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Solution

The fourth proportional to 3,706.44, 5,564.04 and 1,516.80 is: 2,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.44 : 5,564.04 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    3,706.44/5,564.04 = 1,516.80/x
  3. Step 3: Cross multiply
    3,706.44x = 5,564.04 × 1,516.80
  4. Step 4: Simplify right side
    3,706.44x = 8,439,535.87
  5. Step 5: Solve for x
    x = 8,439,535.87/3,706.44
  6. Step 6: Final answer
    x = 2,276.99

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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.