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Finding the Fourth Proportional to 3,761.64, 5,635.17 and 2,113.16

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Solution

The fourth proportional to 3,761.64, 5,635.17 and 2,113.16 is: 3,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.64 : 5,635.17 = 2,113.16 : x
  2. Step 2: Convert to fraction form
    3,761.64/5,635.17 = 2,113.16/x
  3. Step 3: Cross multiply
    3,761.64x = 5,635.17 × 2,113.16
  4. Step 4: Simplify right side
    3,761.64x = 11,907,987.66
  5. Step 5: Solve for x
    x = 11,907,987.66/3,761.64
  6. Step 6: Final answer
    x = 3,165.64

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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.