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Finding the Fourth Proportional to 5,491.44, 8,232.04 and 2,026

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Solution

The fourth proportional to 5,491.44, 8,232.04 and 2,026 is: 3,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.44 : 8,232.04 = 2,026 : x
  2. Step 2: Convert to fraction form
    5,491.44/8,232.04 = 2,026/x
  3. Step 3: Cross multiply
    5,491.44x = 8,232.04 × 2,026
  4. Step 4: Simplify right side
    5,491.44x = 16,678,113.04
  5. Step 5: Solve for x
    x = 16,678,113.04/5,491.44
  6. Step 6: Final answer
    x = 3,037.11

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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.