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Finding the Fourth Proportional to 4,136.76, 5,708.34 and 3,352.68

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Solution

The fourth proportional to 4,136.76, 5,708.34 and 3,352.68 is: 4,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.76 : 5,708.34 = 3,352.68 : x
  2. Step 2: Convert to fraction form
    4,136.76/5,708.34 = 3,352.68/x
  3. Step 3: Cross multiply
    4,136.76x = 5,708.34 × 3,352.68
  4. Step 4: Simplify right side
    4,136.76x = 19,138,237.35
  5. Step 5: Solve for x
    x = 19,138,237.35/4,136.76
  6. Step 6: Final answer
    x = 4,626.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.