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Finding the Fourth Proportional to 4,896.39, 7,343.02 and 1,608.72

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Solution

The fourth proportional to 4,896.39, 7,343.02 and 1,608.72 is: 2,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.39 : 7,343.02 = 1,608.72 : x
  2. Step 2: Convert to fraction form
    4,896.39/7,343.02 = 1,608.72/x
  3. Step 3: Cross multiply
    4,896.39x = 7,343.02 × 1,608.72
  4. Step 4: Simplify right side
    4,896.39x = 11,812,826.42
  5. Step 5: Solve for x
    x = 11,812,826.42/4,896.39
  6. Step 6: Final answer
    x = 2,412.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.