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Finding the Fourth Proportional to 4,723.70, 7,082.16 and 2,223.49

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Solution

The fourth proportional to 4,723.70, 7,082.16 and 2,223.49 is: 3,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.70 : 7,082.16 = 2,223.49 : x
  2. Step 2: Convert to fraction form
    4,723.70/7,082.16 = 2,223.49/x
  3. Step 3: Cross multiply
    4,723.70x = 7,082.16 × 2,223.49
  4. Step 4: Simplify right side
    4,723.70x = 15,747,111.94
  5. Step 5: Solve for x
    x = 15,747,111.94/4,723.70
  6. Step 6: Final answer
    x = 3,333.64

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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.