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Finding the Fourth Proportional to 4,776.06, 7,161.03 and 2,305.97

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Solution

The fourth proportional to 4,776.06, 7,161.03 and 2,305.97 is: 3,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.06 : 7,161.03 = 2,305.97 : x
  2. Step 2: Convert to fraction form
    4,776.06/7,161.03 = 2,305.97/x
  3. Step 3: Cross multiply
    4,776.06x = 7,161.03 × 2,305.97
  4. Step 4: Simplify right side
    4,776.06x = 16,513,084.54
  5. Step 5: Solve for x
    x = 16,513,084.54/4,776.06
  6. Step 6: Final answer
    x = 3,457.47

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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.