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Finding the Fourth Proportional to 4,625.64, 6,938.46 and 2,028.38

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Solution

The fourth proportional to 4,625.64, 6,938.46 and 2,028.38 is: 3,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.64 : 6,938.46 = 2,028.38 : x
  2. Step 2: Convert to fraction form
    4,625.64/6,938.46 = 2,028.38/x
  3. Step 3: Cross multiply
    4,625.64x = 6,938.46 × 2,028.38
  4. Step 4: Simplify right side
    4,625.64x = 14,073,798.80
  5. Step 5: Solve for x
    x = 14,073,798.80/4,625.64
  6. Step 6: Final answer
    x = 3,042.56

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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.