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Finding the Fourth Proportional to 3,519.69, 4,857.09 and 1,947.81

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Solution

The fourth proportional to 3,519.69, 4,857.09 and 1,947.81 is: 2,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.69 : 4,857.09 = 1,947.81 : x
  2. Step 2: Convert to fraction form
    3,519.69/4,857.09 = 1,947.81/x
  3. Step 3: Cross multiply
    3,519.69x = 4,857.09 × 1,947.81
  4. Step 4: Simplify right side
    3,519.69x = 9,460,688.47
  5. Step 5: Solve for x
    x = 9,460,688.47/3,519.69
  6. Step 6: Final answer
    x = 2,687.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.