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Finding the Fourth Proportional to 3,664.32, 5,491.20 and 1,929.12

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Solution

The fourth proportional to 3,664.32, 5,491.20 and 1,929.12 is: 2,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.32 : 5,491.20 = 1,929.12 : x
  2. Step 2: Convert to fraction form
    3,664.32/5,491.20 = 1,929.12/x
  3. Step 3: Cross multiply
    3,664.32x = 5,491.20 × 1,929.12
  4. Step 4: Simplify right side
    3,664.32x = 10,593,183.74
  5. Step 5: Solve for x
    x = 10,593,183.74/3,664.32
  6. Step 6: Final answer
    x = 2,890.90

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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.