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Finding the Fourth Proportional to 3,763.82, 5,649.19 and 1,916.25

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Solution

The fourth proportional to 3,763.82, 5,649.19 and 1,916.25 is: 2,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.82 : 5,649.19 = 1,916.25 : x
  2. Step 2: Convert to fraction form
    3,763.82/5,649.19 = 1,916.25/x
  3. Step 3: Cross multiply
    3,763.82x = 5,649.19 × 1,916.25
  4. Step 4: Simplify right side
    3,763.82x = 10,825,255.55
  5. Step 5: Solve for x
    x = 10,825,255.55/3,763.82
  6. Step 6: Final answer
    x = 2,876.14

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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.