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Finding the Fourth Proportional to 4,625, 6,382.50 and 2,529.14

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Solution

The fourth proportional to 4,625, 6,382.50 and 2,529.14 is: 3,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625 : 6,382.50 = 2,529.14 : x
  2. Step 2: Convert to fraction form
    4,625/6,382.50 = 2,529.14/x
  3. Step 3: Cross multiply
    4,625x = 6,382.50 × 2,529.14
  4. Step 4: Simplify right side
    4,625x = 16,142,236.05
  5. Step 5: Solve for x
    x = 16,142,236.05/4,625
  6. Step 6: Final answer
    x = 3,490.21

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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.