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Finding the Fourth Proportional to 5,006.53, 7,491.31 and 4,120.80

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Solution

The fourth proportional to 5,006.53, 7,491.31 and 4,120.80 is: 6,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.53 : 7,491.31 = 4,120.80 : x
  2. Step 2: Convert to fraction form
    5,006.53/7,491.31 = 4,120.80/x
  3. Step 3: Cross multiply
    5,006.53x = 7,491.31 × 4,120.80
  4. Step 4: Simplify right side
    5,006.53x = 30,870,190.25
  5. Step 5: Solve for x
    x = 30,870,190.25/5,006.53
  6. Step 6: Final answer
    x = 6,165.99

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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.