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Finding the Fourth Proportional to 3,410.70, 5,120.85 and 2,114.70

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Solution

The fourth proportional to 3,410.70, 5,120.85 and 2,114.70 is: 3,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.70 : 5,120.85 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    3,410.70/5,120.85 = 2,114.70/x
  3. Step 3: Cross multiply
    3,410.70x = 5,120.85 × 2,114.70
  4. Step 4: Simplify right side
    3,410.70x = 10,829,061.50
  5. Step 5: Solve for x
    x = 10,829,061.50/3,410.70
  6. Step 6: Final answer
    x = 3,175.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.