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Finding the Fourth Proportional to 4,113.64, 5,676.81 and 2,250.64

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Solution

The fourth proportional to 4,113.64, 5,676.81 and 2,250.64 is: 3,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.64 : 5,676.81 = 2,250.64 : x
  2. Step 2: Convert to fraction form
    4,113.64/5,676.81 = 2,250.64/x
  3. Step 3: Cross multiply
    4,113.64x = 5,676.81 × 2,250.64
  4. Step 4: Simplify right side
    4,113.64x = 12,776,455.66
  5. Step 5: Solve for x
    x = 12,776,455.66/4,113.64
  6. Step 6: Final answer
    x = 3,105.88

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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.