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Finding the Fourth Proportional to 3,424.52, 5,136.03 and 958.68

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Solution

The fourth proportional to 3,424.52, 5,136.03 and 958.68 is: 1,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.52 : 5,136.03 = 958.68 : x
  2. Step 2: Convert to fraction form
    3,424.52/5,136.03 = 958.68/x
  3. Step 3: Cross multiply
    3,424.52x = 5,136.03 × 958.68
  4. Step 4: Simplify right side
    3,424.52x = 4,923,809.24
  5. Step 5: Solve for x
    x = 4,923,809.24/3,424.52
  6. Step 6: Final answer
    x = 1,437.81

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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.