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Finding the Fourth Proportional to 4,037.48, 6,049.32 and 1,958.48

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Solution

The fourth proportional to 4,037.48, 6,049.32 and 1,958.48 is: 2,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.48 : 6,049.32 = 1,958.48 : x
  2. Step 2: Convert to fraction form
    4,037.48/6,049.32 = 1,958.48/x
  3. Step 3: Cross multiply
    4,037.48x = 6,049.32 × 1,958.48
  4. Step 4: Simplify right side
    4,037.48x = 11,847,472.23
  5. Step 5: Solve for x
    x = 11,847,472.23/4,037.48
  6. Step 6: Final answer
    x = 2,934.37

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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.