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Finding the Fourth Proportional to 3,650.82, 5,038.14 and 1,994.82

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Solution

The fourth proportional to 3,650.82, 5,038.14 and 1,994.82 is: 2,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.82 : 5,038.14 = 1,994.82 : x
  2. Step 2: Convert to fraction form
    3,650.82/5,038.14 = 1,994.82/x
  3. Step 3: Cross multiply
    3,650.82x = 5,038.14 × 1,994.82
  4. Step 4: Simplify right side
    3,650.82x = 10,050,182.43
  5. Step 5: Solve for x
    x = 10,050,182.43/3,650.82
  6. Step 6: Final answer
    x = 2,752.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.