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Finding the Fourth Proportional to 3,469.84, 5,202.32 and 1,737.24

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Solution

The fourth proportional to 3,469.84, 5,202.32 and 1,737.24 is: 2,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.84 : 5,202.32 = 1,737.24 : x
  2. Step 2: Convert to fraction form
    3,469.84/5,202.32 = 1,737.24/x
  3. Step 3: Cross multiply
    3,469.84x = 5,202.32 × 1,737.24
  4. Step 4: Simplify right side
    3,469.84x = 9,037,678.40
  5. Step 5: Solve for x
    x = 9,037,678.40/3,469.84
  6. Step 6: Final answer
    x = 2,604.64

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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.