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Finding the Fourth Proportional to 4,783.27, 7,169.97 and 3,463.76

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Solution

The fourth proportional to 4,783.27, 7,169.97 and 3,463.76 is: 5,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.27 : 7,169.97 = 3,463.76 : x
  2. Step 2: Convert to fraction form
    4,783.27/7,169.97 = 3,463.76/x
  3. Step 3: Cross multiply
    4,783.27x = 7,169.97 × 3,463.76
  4. Step 4: Simplify right side
    4,783.27x = 24,835,055.29
  5. Step 5: Solve for x
    x = 24,835,055.29/4,783.27
  6. Step 6: Final answer
    x = 5,192.07

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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.