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Finding the Fourth Proportional to 5,602.77, 7,731.90 and 3,212.73

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Solution

The fourth proportional to 5,602.77, 7,731.90 and 3,212.73 is: 4,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.77 : 7,731.90 = 3,212.73 : x
  2. Step 2: Convert to fraction form
    5,602.77/7,731.90 = 3,212.73/x
  3. Step 3: Cross multiply
    5,602.77x = 7,731.90 × 3,212.73
  4. Step 4: Simplify right side
    5,602.77x = 24,840,507.09
  5. Step 5: Solve for x
    x = 24,840,507.09/5,602.77
  6. Step 6: Final answer
    x = 4,433.61

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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.