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Finding the Fourth Proportional to 3,761.72, 5,642.98 and 1,296.22

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Solution

The fourth proportional to 3,761.72, 5,642.98 and 1,296.22 is: 1,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.72 : 5,642.98 = 1,296.22 : x
  2. Step 2: Convert to fraction form
    3,761.72/5,642.98 = 1,296.22/x
  3. Step 3: Cross multiply
    3,761.72x = 5,642.98 × 1,296.22
  4. Step 4: Simplify right side
    3,761.72x = 7,314,543.54
  5. Step 5: Solve for x
    x = 7,314,543.54/3,761.72
  6. Step 6: Final answer
    x = 1,944.47

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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.