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Finding the Fourth Proportional to 4,114.70, 6,172.05 and 2,033.90

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Solution

The fourth proportional to 4,114.70, 6,172.05 and 2,033.90 is: 3,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.70 : 6,172.05 = 2,033.90 : x
  2. Step 2: Convert to fraction form
    4,114.70/6,172.05 = 2,033.90/x
  3. Step 3: Cross multiply
    4,114.70x = 6,172.05 × 2,033.90
  4. Step 4: Simplify right side
    4,114.70x = 12,553,332.50
  5. Step 5: Solve for x
    x = 12,553,332.50/4,114.70
  6. Step 6: Final answer
    x = 3,050.85

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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.