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Finding the Fourth Proportional to 4,912.62, 7,368.75 and 1,214.77

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Solution

The fourth proportional to 4,912.62, 7,368.75 and 1,214.77 is: 1,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.62 : 7,368.75 = 1,214.77 : x
  2. Step 2: Convert to fraction form
    4,912.62/7,368.75 = 1,214.77/x
  3. Step 3: Cross multiply
    4,912.62x = 7,368.75 × 1,214.77
  4. Step 4: Simplify right side
    4,912.62x = 8,951,349.14
  5. Step 5: Solve for x
    x = 8,951,349.14/4,912.62
  6. Step 6: Final answer
    x = 1,822.11

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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.