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Finding the Fourth Proportional to 5,732.67, 8,597.01 and 2,730.34

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Solution

The fourth proportional to 5,732.67, 8,597.01 and 2,730.34 is: 4,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.67 : 8,597.01 = 2,730.34 : x
  2. Step 2: Convert to fraction form
    5,732.67/8,597.01 = 2,730.34/x
  3. Step 3: Cross multiply
    5,732.67x = 8,597.01 × 2,730.34
  4. Step 4: Simplify right side
    5,732.67x = 23,472,760.28
  5. Step 5: Solve for x
    x = 23,472,760.28/5,732.67
  6. Step 6: Final answer
    x = 4,094.56

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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.