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Finding the Fourth Proportional to 3,965.44, 5,951.84 and 2,019.10

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Solution

The fourth proportional to 3,965.44, 5,951.84 and 2,019.10 is: 3,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.44 : 5,951.84 = 2,019.10 : x
  2. Step 2: Convert to fraction form
    3,965.44/5,951.84 = 2,019.10/x
  3. Step 3: Cross multiply
    3,965.44x = 5,951.84 × 2,019.10
  4. Step 4: Simplify right side
    3,965.44x = 12,017,335.43
  5. Step 5: Solve for x
    x = 12,017,335.43/3,965.44
  6. Step 6: Final answer
    x = 3,030.52

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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.