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Finding the Fourth Proportional to 3,627, 5,005.32 and 1,971

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Solution

The fourth proportional to 3,627, 5,005.32 and 1,971 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627 : 5,005.32 = 1,971 : x
  2. Step 2: Convert to fraction form
    3,627/5,005.32 = 1,971/x
  3. Step 3: Cross multiply
    3,627x = 5,005.32 × 1,971
  4. Step 4: Simplify right side
    3,627x = 9,865,485.72
  5. Step 5: Solve for x
    x = 9,865,485.72/3,627
  6. Step 6: Final answer
    x = 2,720.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.