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Finding the Fourth Proportional to 3,796.05, 5,691.65 and 1,604.19

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Solution

The fourth proportional to 3,796.05, 5,691.65 and 1,604.19 is: 2,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.05 : 5,691.65 = 1,604.19 : x
  2. Step 2: Convert to fraction form
    3,796.05/5,691.65 = 1,604.19/x
  3. Step 3: Cross multiply
    3,796.05x = 5,691.65 × 1,604.19
  4. Step 4: Simplify right side
    3,796.05x = 9,130,479.99
  5. Step 5: Solve for x
    x = 9,130,479.99/3,796.05
  6. Step 6: Final answer
    x = 2,405.26

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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.