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Finding the Fourth Proportional to 3,627.88, 5,448.29 and 2,971.01

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Solution

The fourth proportional to 3,627.88, 5,448.29 and 2,971.01 is: 4,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.88 : 5,448.29 = 2,971.01 : x
  2. Step 2: Convert to fraction form
    3,627.88/5,448.29 = 2,971.01/x
  3. Step 3: Cross multiply
    3,627.88x = 5,448.29 × 2,971.01
  4. Step 4: Simplify right side
    3,627.88x = 16,186,922.84
  5. Step 5: Solve for x
    x = 16,186,922.84/3,627.88
  6. Step 6: Final answer
    x = 4,461.82

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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.