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Finding the Fourth Proportional to 5,057.32, 7,587.02 and 1,772.73

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Solution

The fourth proportional to 5,057.32, 7,587.02 and 1,772.73 is: 2,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.32 : 7,587.02 = 1,772.73 : x
  2. Step 2: Convert to fraction form
    5,057.32/7,587.02 = 1,772.73/x
  3. Step 3: Cross multiply
    5,057.32x = 7,587.02 × 1,772.73
  4. Step 4: Simplify right side
    5,057.32x = 13,449,737.96
  5. Step 5: Solve for x
    x = 13,449,737.96/5,057.32
  6. Step 6: Final answer
    x = 2,659.46

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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.