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Finding the Fourth Proportional to 5,450.53, 8,176 and 1,752.27

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Solution

The fourth proportional to 5,450.53, 8,176 and 1,752.27 is: 2,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.53 : 8,176 = 1,752.27 : x
  2. Step 2: Convert to fraction form
    5,450.53/8,176 = 1,752.27/x
  3. Step 3: Cross multiply
    5,450.53x = 8,176 × 1,752.27
  4. Step 4: Simplify right side
    5,450.53x = 14,326,559.52
  5. Step 5: Solve for x
    x = 14,326,559.52/5,450.53
  6. Step 6: Final answer
    x = 2,628.47

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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.