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Finding the Fourth Proportional to 3,604.59, 5,408.61 and 1,631.61

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Solution

The fourth proportional to 3,604.59, 5,408.61 and 1,631.61 is: 2,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.59 : 5,408.61 = 1,631.61 : x
  2. Step 2: Convert to fraction form
    3,604.59/5,408.61 = 1,631.61/x
  3. Step 3: Cross multiply
    3,604.59x = 5,408.61 × 1,631.61
  4. Step 4: Simplify right side
    3,604.59x = 8,824,742.16
  5. Step 5: Solve for x
    x = 8,824,742.16/3,604.59
  6. Step 6: Final answer
    x = 2,448.20

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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.