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Finding the Fourth Proportional to 4,622.61, 6,378.46 and 2,633.20

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Solution

The fourth proportional to 4,622.61, 6,378.46 and 2,633.20 is: 3,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.61 : 6,378.46 = 2,633.20 : x
  2. Step 2: Convert to fraction form
    4,622.61/6,378.46 = 2,633.20/x
  3. Step 3: Cross multiply
    4,622.61x = 6,378.46 × 2,633.20
  4. Step 4: Simplify right side
    4,622.61x = 16,795,760.87
  5. Step 5: Solve for x
    x = 16,795,760.87/4,622.61
  6. Step 6: Final answer
    x = 3,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.