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Finding the Fourth Proportional to 4,300.14, 6,451.14 and 1,378.44

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Solution

The fourth proportional to 4,300.14, 6,451.14 and 1,378.44 is: 2,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.14 : 6,451.14 = 1,378.44 : x
  2. Step 2: Convert to fraction form
    4,300.14/6,451.14 = 1,378.44/x
  3. Step 3: Cross multiply
    4,300.14x = 6,451.14 × 1,378.44
  4. Step 4: Simplify right side
    4,300.14x = 8,892,509.42
  5. Step 5: Solve for x
    x = 8,892,509.42/4,300.14
  6. Step 6: Final answer
    x = 2,067.96

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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.