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Finding the Fourth Proportional to 3,974.56, 5,962.10 and 1,201

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Solution

The fourth proportional to 3,974.56, 5,962.10 and 1,201 is: 1,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.56 : 5,962.10 = 1,201 : x
  2. Step 2: Convert to fraction form
    3,974.56/5,962.10 = 1,201/x
  3. Step 3: Cross multiply
    3,974.56x = 5,962.10 × 1,201
  4. Step 4: Simplify right side
    3,974.56x = 7,160,482.10
  5. Step 5: Solve for x
    x = 7,160,482.10/3,974.56
  6. Step 6: Final answer
    x = 1,801.58

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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.