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Finding the Fourth Proportional to 5,614.46, 7,748.47 and 3,224.76

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Solution

The fourth proportional to 5,614.46, 7,748.47 and 3,224.76 is: 4,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.46 : 7,748.47 = 3,224.76 : x
  2. Step 2: Convert to fraction form
    5,614.46/7,748.47 = 3,224.76/x
  3. Step 3: Cross multiply
    5,614.46x = 7,748.47 × 3,224.76
  4. Step 4: Simplify right side
    5,614.46x = 24,986,956.12
  5. Step 5: Solve for x
    x = 24,986,956.12/5,614.46
  6. Step 6: Final answer
    x = 4,450.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.