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Finding the Fourth Proportional to 4,807.92, 7,212.67 and 1,476.09

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Solution

The fourth proportional to 4,807.92, 7,212.67 and 1,476.09 is: 2,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.92 : 7,212.67 = 1,476.09 : x
  2. Step 2: Convert to fraction form
    4,807.92/7,212.67 = 1,476.09/x
  3. Step 3: Cross multiply
    4,807.92x = 7,212.67 × 1,476.09
  4. Step 4: Simplify right side
    4,807.92x = 10,646,550.06
  5. Step 5: Solve for x
    x = 10,646,550.06/4,807.92
  6. Step 6: Final answer
    x = 2,214.38

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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.