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Finding the Fourth Proportional to 3,592.98, 5,382.46 and 2,028.25

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Solution

The fourth proportional to 3,592.98, 5,382.46 and 2,028.25 is: 3,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.98 : 5,382.46 = 2,028.25 : x
  2. Step 2: Convert to fraction form
    3,592.98/5,382.46 = 2,028.25/x
  3. Step 3: Cross multiply
    3,592.98x = 5,382.46 × 2,028.25
  4. Step 4: Simplify right side
    3,592.98x = 10,916,974.50
  5. Step 5: Solve for x
    x = 10,916,974.50/3,592.98
  6. Step 6: Final answer
    x = 3,038.42

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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.