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Finding the Fourth Proportional to 3,604.66, 5,406.13 and 1,383.04

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Solution

The fourth proportional to 3,604.66, 5,406.13 and 1,383.04 is: 2,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.66 : 5,406.13 = 1,383.04 : x
  2. Step 2: Convert to fraction form
    3,604.66/5,406.13 = 1,383.04/x
  3. Step 3: Cross multiply
    3,604.66x = 5,406.13 × 1,383.04
  4. Step 4: Simplify right side
    3,604.66x = 7,476,894.04
  5. Step 5: Solve for x
    x = 7,476,894.04/3,604.66
  6. Step 6: Final answer
    x = 2,074.23

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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.