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Finding the Fourth Proportional to 3,495.50, 5,239.72 and 1,737.80

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Solution

The fourth proportional to 3,495.50, 5,239.72 and 1,737.80 is: 2,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.50 : 5,239.72 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    3,495.50/5,239.72 = 1,737.80/x
  3. Step 3: Cross multiply
    3,495.50x = 5,239.72 × 1,737.80
  4. Step 4: Simplify right side
    3,495.50x = 9,105,600.69
  5. Step 5: Solve for x
    x = 9,105,600.69/3,495.50
  6. Step 6: Final answer
    x = 2,604.95

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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.