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Finding the Fourth Proportional to 4,516.56, 6,772.64 and 1,594.44

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Solution

The fourth proportional to 4,516.56, 6,772.64 and 1,594.44 is: 2,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.56 : 6,772.64 = 1,594.44 : x
  2. Step 2: Convert to fraction form
    4,516.56/6,772.64 = 1,594.44/x
  3. Step 3: Cross multiply
    4,516.56x = 6,772.64 × 1,594.44
  4. Step 4: Simplify right side
    4,516.56x = 10,798,560.15
  5. Step 5: Solve for x
    x = 10,798,560.15/4,516.56
  6. Step 6: Final answer
    x = 2,390.88

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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.