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Finding the Fourth Proportional to 3,469.44, 5,204.16 and 1,416

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Solution

The fourth proportional to 3,469.44, 5,204.16 and 1,416 is: 2,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.44 : 5,204.16 = 1,416 : x
  2. Step 2: Convert to fraction form
    3,469.44/5,204.16 = 1,416/x
  3. Step 3: Cross multiply
    3,469.44x = 5,204.16 × 1,416
  4. Step 4: Simplify right side
    3,469.44x = 7,369,090.56
  5. Step 5: Solve for x
    x = 7,369,090.56/3,469.44
  6. Step 6: Final answer
    x = 2,124

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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.