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Finding the Fourth Proportional to 3,503.67, 5,256.20 and 1,945.90

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Solution

The fourth proportional to 3,503.67, 5,256.20 and 1,945.90 is: 2,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.67 : 5,256.20 = 1,945.90 : x
  2. Step 2: Convert to fraction form
    3,503.67/5,256.20 = 1,945.90/x
  3. Step 3: Cross multiply
    3,503.67x = 5,256.20 × 1,945.90
  4. Step 4: Simplify right side
    3,503.67x = 10,228,039.58
  5. Step 5: Solve for x
    x = 10,228,039.58/3,503.67
  6. Step 6: Final answer
    x = 2,919.24

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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.