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Finding the Fourth Proportional to 5,732.82, 7,910.73 and 3,374.64

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Solution

The fourth proportional to 5,732.82, 7,910.73 and 3,374.64 is: 4,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.82 : 7,910.73 = 3,374.64 : x
  2. Step 2: Convert to fraction form
    5,732.82/7,910.73 = 3,374.64/x
  3. Step 3: Cross multiply
    5,732.82x = 7,910.73 × 3,374.64
  4. Step 4: Simplify right side
    5,732.82x = 26,695,865.89
  5. Step 5: Solve for x
    x = 26,695,865.89/5,732.82
  6. Step 6: Final answer
    x = 4,656.67

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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.