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Finding the Fourth Proportional to 3,706.19, 5,114.39 and 2,027.57

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Solution

The fourth proportional to 3,706.19, 5,114.39 and 2,027.57 is: 2,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.19 : 5,114.39 = 2,027.57 : x
  2. Step 2: Convert to fraction form
    3,706.19/5,114.39 = 2,027.57/x
  3. Step 3: Cross multiply
    3,706.19x = 5,114.39 × 2,027.57
  4. Step 4: Simplify right side
    3,706.19x = 10,369,748.02
  5. Step 5: Solve for x
    x = 10,369,748.02/3,706.19
  6. Step 6: Final answer
    x = 2,797.96

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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.