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Finding the Fourth Proportional to 3,531.26, 5,293.02 and 2,561.60

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Solution

The fourth proportional to 3,531.26, 5,293.02 and 2,561.60 is: 3,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.26 : 5,293.02 = 2,561.60 : x
  2. Step 2: Convert to fraction form
    3,531.26/5,293.02 = 2,561.60/x
  3. Step 3: Cross multiply
    3,531.26x = 5,293.02 × 2,561.60
  4. Step 4: Simplify right side
    3,531.26x = 13,558,600.03
  5. Step 5: Solve for x
    x = 13,558,600.03/3,531.26
  6. Step 6: Final answer
    x = 3,839.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.