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Finding the Fourth Proportional to 3,504.53, 5,256.67 and 1,424.49

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Solution

The fourth proportional to 3,504.53, 5,256.67 and 1,424.49 is: 2,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.53 : 5,256.67 = 1,424.49 : x
  2. Step 2: Convert to fraction form
    3,504.53/5,256.67 = 1,424.49/x
  3. Step 3: Cross multiply
    3,504.53x = 5,256.67 × 1,424.49
  4. Step 4: Simplify right side
    3,504.53x = 7,488,073.85
  5. Step 5: Solve for x
    x = 7,488,073.85/3,504.53
  6. Step 6: Final answer
    x = 2,136.68

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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.