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Finding the Fourth Proportional to 4,912.56, 7,337.56 and 4,221.24

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Solution

The fourth proportional to 4,912.56, 7,337.56 and 4,221.24 is: 6,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.56 : 7,337.56 = 4,221.24 : x
  2. Step 2: Convert to fraction form
    4,912.56/7,337.56 = 4,221.24/x
  3. Step 3: Cross multiply
    4,912.56x = 7,337.56 × 4,221.24
  4. Step 4: Simplify right side
    4,912.56x = 30,973,601.77
  5. Step 5: Solve for x
    x = 30,973,601.77/4,912.56
  6. Step 6: Final answer
    x = 6,304.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.