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Finding the Fourth Proportional to 4,136.76, 5,709.54 and 2,369.54

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Solution

The fourth proportional to 4,136.76, 5,709.54 and 2,369.54 is: 3,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.76 : 5,709.54 = 2,369.54 : x
  2. Step 2: Convert to fraction form
    4,136.76/5,709.54 = 2,369.54/x
  3. Step 3: Cross multiply
    4,136.76x = 5,709.54 × 2,369.54
  4. Step 4: Simplify right side
    4,136.76x = 13,528,954.86
  5. Step 5: Solve for x
    x = 13,528,954.86/4,136.76
  6. Step 6: Final answer
    x = 3,270.42

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1.5x scale

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.