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Finding the Fourth Proportional to 4,676.92, 7,015.43 and 1,214.17

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Solution

The fourth proportional to 4,676.92, 7,015.43 and 1,214.17 is: 1,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.92 : 7,015.43 = 1,214.17 : x
  2. Step 2: Convert to fraction form
    4,676.92/7,015.43 = 1,214.17/x
  3. Step 3: Cross multiply
    4,676.92x = 7,015.43 × 1,214.17
  4. Step 4: Simplify right side
    4,676.92x = 8,517,924.64
  5. Step 5: Solve for x
    x = 8,517,924.64/4,676.92
  6. Step 6: Final answer
    x = 1,821.27

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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.