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Finding the Fourth Proportional to 4,612.14, 6,920.64 and 2,016.90

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Solution

The fourth proportional to 4,612.14, 6,920.64 and 2,016.90 is: 3,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.14 : 6,920.64 = 2,016.90 : x
  2. Step 2: Convert to fraction form
    4,612.14/6,920.64 = 2,016.90/x
  3. Step 3: Cross multiply
    4,612.14x = 6,920.64 × 2,016.90
  4. Step 4: Simplify right side
    4,612.14x = 13,958,238.82
  5. Step 5: Solve for x
    x = 13,958,238.82/4,612.14
  6. Step 6: Final answer
    x = 3,026.41

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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.