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Finding the Fourth Proportional to 5,098.72, 7,650.42 and 3,022.84

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Solution

The fourth proportional to 5,098.72, 7,650.42 and 3,022.84 is: 4,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.72 : 7,650.42 = 3,022.84 : x
  2. Step 2: Convert to fraction form
    5,098.72/7,650.42 = 3,022.84/x
  3. Step 3: Cross multiply
    5,098.72x = 7,650.42 × 3,022.84
  4. Step 4: Simplify right side
    5,098.72x = 23,125,995.59
  5. Step 5: Solve for x
    x = 23,125,995.59/5,098.72
  6. Step 6: Final answer
    x = 4,535.65

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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.