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Finding the Fourth Proportional to 3,761.56, 5,643.65 and 1,681.36

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Solution

The fourth proportional to 3,761.56, 5,643.65 and 1,681.36 is: 2,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.56 : 5,643.65 = 1,681.36 : x
  2. Step 2: Convert to fraction form
    3,761.56/5,643.65 = 1,681.36/x
  3. Step 3: Cross multiply
    3,761.56x = 5,643.65 × 1,681.36
  4. Step 4: Simplify right side
    3,761.56x = 9,489,007.36
  5. Step 5: Solve for x
    x = 9,489,007.36/3,761.56
  6. Step 6: Final answer
    x = 2,522.63

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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.