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Finding the Fourth Proportional to 3,664.78, 5,497.17 and 2,930.92

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Solution

The fourth proportional to 3,664.78, 5,497.17 and 2,930.92 is: 4,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.78 : 5,497.17 = 2,930.92 : x
  2. Step 2: Convert to fraction form
    3,664.78/5,497.17 = 2,930.92/x
  3. Step 3: Cross multiply
    3,664.78x = 5,497.17 × 2,930.92
  4. Step 4: Simplify right side
    3,664.78x = 16,111,765.50
  5. Step 5: Solve for x
    x = 16,111,765.50/3,664.78
  6. Step 6: Final answer
    x = 4,396.38

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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.