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Finding the Fourth Proportional to 4,029.53, 6,037.44 and 1,950.50

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Solution

The fourth proportional to 4,029.53, 6,037.44 and 1,950.50 is: 2,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.53 : 6,037.44 = 1,950.50 : x
  2. Step 2: Convert to fraction form
    4,029.53/6,037.44 = 1,950.50/x
  3. Step 3: Cross multiply
    4,029.53x = 6,037.44 × 1,950.50
  4. Step 4: Simplify right side
    4,029.53x = 11,775,996.53
  5. Step 5: Solve for x
    x = 11,775,996.53/4,029.53
  6. Step 6: Final answer
    x = 2,922.43

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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.