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Finding the Fourth Proportional to 3,635.64, 5,014.50 and 2,308.20

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Solution

The fourth proportional to 3,635.64, 5,014.50 and 2,308.20 is: 3,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.64 : 5,014.50 = 2,308.20 : x
  2. Step 2: Convert to fraction form
    3,635.64/5,014.50 = 2,308.20/x
  3. Step 3: Cross multiply
    3,635.64x = 5,014.50 × 2,308.20
  4. Step 4: Simplify right side
    3,635.64x = 11,574,468.90
  5. Step 5: Solve for x
    x = 11,574,468.90/3,635.64
  6. Step 6: Final answer
    x = 3,183.61

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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.