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Finding the Fourth Proportional to 3,086.36, 4,630.68 and 1,443.44

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Solution

The fourth proportional to 3,086.36, 4,630.68 and 1,443.44 is: 2,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.36 : 4,630.68 = 1,443.44 : x
  2. Step 2: Convert to fraction form
    3,086.36/4,630.68 = 1,443.44/x
  3. Step 3: Cross multiply
    3,086.36x = 4,630.68 × 1,443.44
  4. Step 4: Simplify right side
    3,086.36x = 6,684,108.74
  5. Step 5: Solve for x
    x = 6,684,108.74/3,086.36
  6. Step 6: Final answer
    x = 2,165.69

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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.