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Finding the Fourth Proportional to 4,737.25, 7,105.74 and 1,449.87

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Solution

The fourth proportional to 4,737.25, 7,105.74 and 1,449.87 is: 2,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.25 : 7,105.74 = 1,449.87 : x
  2. Step 2: Convert to fraction form
    4,737.25/7,105.74 = 1,449.87/x
  3. Step 3: Cross multiply
    4,737.25x = 7,105.74 × 1,449.87
  4. Step 4: Simplify right side
    4,737.25x = 10,302,399.25
  5. Step 5: Solve for x
    x = 10,302,399.25/4,737.25
  6. Step 6: Final answer
    x = 2,174.76

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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.