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Finding the Fourth Proportional to 3,795.52, 5,696.93 and 1,849.09

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Solution

The fourth proportional to 3,795.52, 5,696.93 and 1,849.09 is: 2,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.52 : 5,696.93 = 1,849.09 : x
  2. Step 2: Convert to fraction form
    3,795.52/5,696.93 = 1,849.09/x
  3. Step 3: Cross multiply
    3,795.52x = 5,696.93 × 1,849.09
  4. Step 4: Simplify right side
    3,795.52x = 10,534,136.29
  5. Step 5: Solve for x
    x = 10,534,136.29/3,795.52
  6. Step 6: Final answer
    x = 2,775.41

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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.