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Finding the Fourth Proportional to 3,543.25, 4,890.06 and 1,971.49

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Solution

The fourth proportional to 3,543.25, 4,890.06 and 1,971.49 is: 2,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.25 : 4,890.06 = 1,971.49 : x
  2. Step 2: Convert to fraction form
    3,543.25/4,890.06 = 1,971.49/x
  3. Step 3: Cross multiply
    3,543.25x = 4,890.06 × 1,971.49
  4. Step 4: Simplify right side
    3,543.25x = 9,640,704.39
  5. Step 5: Solve for x
    x = 9,640,704.39/3,543.25
  6. Step 6: Final answer
    x = 2,720.86

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