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Finding the Fourth Proportional to 3,453, 5,170.05 and 2,414.04

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Solution

The fourth proportional to 3,453, 5,170.05 and 2,414.04 is: 3,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453 : 5,170.05 = 2,414.04 : x
  2. Step 2: Convert to fraction form
    3,453/5,170.05 = 2,414.04/x
  3. Step 3: Cross multiply
    3,453x = 5,170.05 × 2,414.04
  4. Step 4: Simplify right side
    3,453x = 12,480,707.50
  5. Step 5: Solve for x
    x = 12,480,707.50/3,453
  6. Step 6: Final answer
    x = 3,614.45

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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.