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Finding the Fourth Proportional to 5,675.64, 8,512.83 and 1,516.01

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Solution

The fourth proportional to 5,675.64, 8,512.83 and 1,516.01 is: 2,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.64 : 8,512.83 = 1,516.01 : x
  2. Step 2: Convert to fraction form
    5,675.64/8,512.83 = 1,516.01/x
  3. Step 3: Cross multiply
    5,675.64x = 8,512.83 × 1,516.01
  4. Step 4: Simplify right side
    5,675.64x = 12,905,540.73
  5. Step 5: Solve for x
    x = 12,905,540.73/5,675.64
  6. Step 6: Final answer
    x = 2,273.85

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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.