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Finding the Fourth Proportional to 4,136.99, 5,709.94 and 2,545

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Solution

The fourth proportional to 4,136.99, 5,709.94 and 2,545 is: 3,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.99 : 5,709.94 = 2,545 : x
  2. Step 2: Convert to fraction form
    4,136.99/5,709.94 = 2,545/x
  3. Step 3: Cross multiply
    4,136.99x = 5,709.94 × 2,545
  4. Step 4: Simplify right side
    4,136.99x = 14,531,797.30
  5. Step 5: Solve for x
    x = 14,531,797.30/4,136.99
  6. Step 6: Final answer
    x = 3,512.65

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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.