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Finding the Fourth Proportional to 3,962.64, 5,971.21 and 3,284.54

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Solution

The fourth proportional to 3,962.64, 5,971.21 and 3,284.54 is: 4,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.64 : 5,971.21 = 3,284.54 : x
  2. Step 2: Convert to fraction form
    3,962.64/5,971.21 = 3,284.54/x
  3. Step 3: Cross multiply
    3,962.64x = 5,971.21 × 3,284.54
  4. Step 4: Simplify right side
    3,962.64x = 19,612,678.09
  5. Step 5: Solve for x
    x = 19,612,678.09/3,962.64
  6. Step 6: Final answer
    x = 4,949.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.