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Finding the Fourth Proportional to 4,747.57, 7,121.37 and 1,460.64

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Solution

The fourth proportional to 4,747.57, 7,121.37 and 1,460.64 is: 2,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.57 : 7,121.37 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    4,747.57/7,121.37 = 1,460.64/x
  3. Step 3: Cross multiply
    4,747.57x = 7,121.37 × 1,460.64
  4. Step 4: Simplify right side
    4,747.57x = 10,401,790.06
  5. Step 5: Solve for x
    x = 10,401,790.06/4,747.57
  6. Step 6: Final answer
    x = 2,190.97

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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.