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Finding the Fourth Proportional to 3,627.98, 4,974.01 and 3,562.37

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Solution

The fourth proportional to 3,627.98, 4,974.01 and 3,562.37 is: 4,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.98 : 4,974.01 = 3,562.37 : x
  2. Step 2: Convert to fraction form
    3,627.98/4,974.01 = 3,562.37/x
  3. Step 3: Cross multiply
    3,627.98x = 4,974.01 × 3,562.37
  4. Step 4: Simplify right side
    3,627.98x = 17,719,264.00
  5. Step 5: Solve for x
    x = 17,719,264.00/3,627.98
  6. Step 6: Final answer
    x = 4,884.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.