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Finding the Fourth Proportional to 3,543.26, 4,889.90 and 1,971.36

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Solution

The fourth proportional to 3,543.26, 4,889.90 and 1,971.36 is: 2,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.26 : 4,889.90 = 1,971.36 : x
  2. Step 2: Convert to fraction form
    3,543.26/4,889.90 = 1,971.36/x
  3. Step 3: Cross multiply
    3,543.26x = 4,889.90 × 1,971.36
  4. Step 4: Simplify right side
    3,543.26x = 9,639,758.19
  5. Step 5: Solve for x
    x = 9,639,758.19/3,543.26
  6. Step 6: Final answer
    x = 2,720.59

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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.