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Finding the Fourth Proportional to 5,974.53, 8,945.34 and 4,509.24

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Solution

The fourth proportional to 5,974.53, 8,945.34 and 4,509.24 is: 6,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.53 : 8,945.34 = 4,509.24 : x
  2. Step 2: Convert to fraction form
    5,974.53/8,945.34 = 4,509.24/x
  3. Step 3: Cross multiply
    5,974.53x = 8,945.34 × 4,509.24
  4. Step 4: Simplify right side
    5,974.53x = 40,336,684.94
  5. Step 5: Solve for x
    x = 40,336,684.94/5,974.53
  6. Step 6: Final answer
    x = 6,751.44

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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.